7942830800400 has 540 divisors, whose sum is σ = 30225265967104. Its totient is φ = 1929180672000.

The previous prime is 7942830800371. The next prime is 7942830800447. The reversal of 7942830800400 is 40080382497.

7942830800400 is a `hidden beast` number, since 7 + 94 + 2 + 83 + 0 + 80 + 0 + 400 = 666.

It is a super-2 number, since 2×7942830800400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32129265 + ... + 32375535.

Almost surely, 2^{7942830800400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7942830800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112632983552).

7942830800400 is an abundant number, since it is smaller than the sum of its proper divisors (22282435166704).

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

7942830800400 is a wasteful number, since it uses less digits than its factorization.

7942830800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246360 (or 246329 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7942830800400 in words is "seven trillion, nine hundred forty-two billion, eight hundred thirty million, eight hundred thousand, four hundred".