40090592520 has 512 divisors, whose sum is σ = 157062758400. Its totient is φ = 8994585600.

The previous prime is 40090592473. The next prime is 40090592579. The reversal of 40090592520 is 2529509004.

It is a happy number.

40090592520 is a `hidden beast` number, since 40 + 0 + 9 + 0 + 5 + 92 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8468074 + ... + 8472806.

It is an arithmetic number, because the mean of its divisors is an integer number (306763200).

Almost surely, 2^40090592520 is an apocalyptic number.

40090592520 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 40090592520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78531379200).

40090592520 is an abundant number, since it is smaller than the sum of its proper divisors (116972165880).

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

40090592520 is a wasteful number, since it uses less digits than its factorization.

40090592520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 40090592520 in words is "forty billion, ninety million, five hundred ninety-two thousand, five hundred twenty".