40051512332400 has 240 divisors, whose sum is σ = 129003917328000. Its totient is φ = 10621712532480.

The previous prime is 40051512332383. The next prime is 40051512332417. The reversal of 40051512332400 is 423321515004.

It is an interprime number because it is at equal distance from previous prime (40051512332383) and next prime (40051512332417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40051512332400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581273151 + ... + 581342049.

It is an arithmetic number, because the mean of its divisors is an integer number (537516322200).

Almost surely, 2^{40051512332400} is an apocalyptic number.

40051512332400 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 40051512332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64501958664000).

40051512332400 is an abundant number, since it is smaller than the sum of its proper divisors (88952404995600).

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

40051512332400 is a wasteful number, since it uses less digits than its factorization.

40051512332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71576 (or 71565 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 40051512332400 its reverse (423321515004), we get a palindrome (40474833847404).

The spelling of 40051512332400 in words is "forty trillion, fifty-one billion, five hundred twelve million, three hundred thirty-two thousand, four hundred".