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40535322240 = 2735717315997
BaseRepresentation
bin100101110000000101…
…111110111010000000
310212121222100201120010
4211300011332322000
51131004020302430
630342140344520
72633334361020
oct456005767200
9125558321503
1040535322240
1116211150616
127a33245140
133a8cc53c9a
141d67719a80
1510c39cacb0
hex97017ee80

40535322240 has 1024 divisors, whose sum is σ = 165821644800. Its totient is φ = 8210350080.

The previous prime is 40535322239. The next prime is 40535322241. The reversal of 40535322240 is 4222353504.

It is an interprime number because it is at equal distance from previous prime (40535322239) and next prime (40535322241).

It is a super-2 number, since 2×405353222402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40535322198 and 40535322207.

It is not an unprimeable number, because it can be changed into a prime (40535322241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417889872 + ... + 417889968.

It is an arithmetic number, because the mean of its divisors is an integer number (161935200).

Almost surely, 240535322240 is an apocalyptic number.

40535322240 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 40535322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82910822400).

40535322240 is an abundant number, since it is smaller than the sum of its proper divisors (125286322560).

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

40535322240 is a wasteful number, since it uses less digits than its factorization.

40535322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 40535322240 its reverse (4222353504), we get a palindrome (44757675744).

The spelling of 40535322240 in words is "forty billion, five hundred thirty-five million, three hundred twenty-two thousand, two hundred forty".