940816638122400 has 4608 divisors, whose sum is σ = 3953741184368640. Its totient is φ = 214274211840000.

The previous prime is 940816638122393. The next prime is 940816638122453. The reversal of 940816638122400 is 4221836618049.

940816638122400 is a `hidden beast` number, since 9 + 4 + 0 + 8 + 16 + 6 + 381 + 2 + 240 + 0 = 666.

940816638122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5992462663122 + ... + 5992462663278.

It is an arithmetic number, because the mean of its divisors is an integer number (858016750080).

Almost surely, 2^{940816638122400} is an apocalyptic number.

940816638122400 is a gapful number since it is divisible by the number (90) 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 940816638122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976870592184320).

940816638122400 is an abundant number, since it is smaller than the sum of its proper divisors (3012924546246240).

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

940816638122400 is a wasteful number, since it uses less digits than its factorization.

940816638122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 940816638122400 in words is "nine hundred forty trillion, eight hundred sixteen billion, six hundred thirty-eight million, one hundred twenty-two thousand, four hundred".