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40141034440 = 235131779229251
BaseRepresentation
bin100101011000100101…
…111001001111001000
310211121111102211101021
4211120211321033020
51124202101100230
630235053402224
72620506106633
oct453045711710
9124544384337
1040141034440
1116029627331
127943199374
133a293626b0
141d2b200c1a
15109e094c7a
hex9589793c8

40141034440 has 256 divisors, whose sum is σ = 105162624000. Its totient is φ = 13658112000.

The previous prime is 40141034411. The next prime is 40141034467. The reversal of 40141034440 is 4443014104.

It is a happy number.

It is a super-2 number, since 2×401410344402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159924315 + ... + 159924565.

It is an arithmetic number, because the mean of its divisors is an integer number (410791500).

Almost surely, 240141034440 is an apocalyptic number.

40141034440 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 40141034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52581312000).

40141034440 is an abundant number, since it is smaller than the sum of its proper divisors (65021589560).

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

40141034440 is a wasteful number, since it uses less digits than its factorization.

40141034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40141034440 its reverse (4443014104), we get a palindrome (44584048544).

The spelling of 40141034440 in words is "forty billion, one hundred forty-one million, thirty-four thousand, four hundred forty".