40136924520 has 1536 divisors, whose sum is σ = 186157440000. Its totient is φ = 7493713920.

The previous prime is 40136924483. The next prime is 40136924521. The reversal of 40136924520 is 2542963104.

It is a happy number.

40136924520 is a `hidden beast` number, since 40 + 1 + 3 + 6 + 92 + 4 + 520 = 666.

It is a super-2 number, since 2×40136924520² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40136924521) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 450976636 + ... + 450976724.

It is an arithmetic number, because the mean of its divisors is an integer number (121196250).

Almost surely, 2^40136924520 is an apocalyptic number.

40136924520 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 40136924520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720000).

40136924520 is an abundant number, since it is smaller than the sum of its proper divisors (146020515480).

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

40136924520 is a wasteful number, since it uses less digits than its factorization.

40136924520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40136924520 in words is "forty billion, one hundred thirty-six million, nine hundred twenty-four thousand, five hundred twenty".