40242933122400 has 432 divisors, whose sum is σ = 144789352763328. Its totient is φ = 10515640320000.

The previous prime is 40242933122387. The next prime is 40242933122423. The reversal of 40242933122400 is 422133924204.

40242933122400 is a `hidden beast` number, since 4 + 0 + 2 + 42 + 93 + 3 + 122 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70253145 + ... + 70823655.

It is an arithmetic number, because the mean of its divisors is an integer number (335160538804).

Almost surely, 2^{40242933122400} is an apocalyptic number.

40242933122400 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 40242933122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394676381664).

40242933122400 is an abundant number, since it is smaller than the sum of its proper divisors (104546419640928).

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

40242933122400 is a wasteful number, since it uses less digits than its factorization.

40242933122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570735 (or 570719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40242933122400 in words is "forty trillion, two hundred forty-two billion, nine hundred thirty-three million, one hundred twenty-two thousand, four hundred".