40131012438000 has 800 divisors, whose sum is σ = 158242126730688. Its totient is φ = 9722080512000.

The previous prime is 40131012437993. The next prime is 40131012438019. The reversal of 40131012438000 is 83421013104.

40131012438000 is a `hidden beast` number, since 401 + 3 + 10 + 1 + 243 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×40131012438000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2917127122 + ... + 2917140878.

Almost surely, 2^{40131012438000} is an apocalyptic number.

40131012438000 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 40131012438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79121063365344).

40131012438000 is an abundant number, since it is smaller than the sum of its proper divisors (118111114292688).

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

40131012438000 is a wasteful number, since it uses less digits than its factorization.

40131012438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40131012438000 in words is "forty trillion, one hundred thirty-one billion, twelve million, four hundred thirty-eight thousand".