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40535315330400 = 253352111391816781
BaseRepresentation
bin10010011011101110111010…
…00100100011010101100000
312022112010201211011101111000
421031313131010203111200
520303112311211033100
6222113400005352000
711352402621216132
oct1115673504432540
9168463654141430
1040535315330400
1111a08a26828a40
124668023108600
131980605073b37
14a01cc3a4d052
154a463ae1b900
hex24dddd123560

40535315330400 has 1152 divisors, whose sum is σ = 161994656678400. Its totient is φ = 9700715520000.

The previous prime is 40535315330359. The next prime is 40535315330407. The reversal of 40535315330400 is 403351353504.

40535315330400 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 5 + 315 + 330 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×405353153304002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40535315330407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5977775010 + ... + 5977781790.

It is an arithmetic number, because the mean of its divisors is an integer number (140620361700).

Almost surely, 240535315330400 is an apocalyptic number.

40535315330400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40535315330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80997328339200).

40535315330400 is an abundant number, since it is smaller than the sum of its proper divisors (121459341348000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40535315330400 is a wasteful number, since it uses less digits than its factorization.

40535315330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 40535315330400 its reverse (403351353504), we get a palindrome (40938666683904).

The spelling of 40535315330400 in words is "forty trillion, five hundred thirty-five billion, three hundred fifteen million, three hundred thirty thousand, four hundred".