7816105004400 has 2160 divisors, whose sum is σ = 36672495095808. Its totient is φ = 1496351232000.

The previous prime is 7816105004321. The next prime is 7816105004431. The reversal of 7816105004400 is 44005016187.

It is a happy number.

7816105004400 is a `hidden beast` number, since 7 + 8 + 161 + 0 + 50 + 0 + 440 + 0 = 666.

It is a super-2 number, since 2×7816105004400² (a number of 27 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 3702559345 + ... + 3702561455.

Almost surely, 2^{7816105004400} is an apocalyptic number.

7816105004400 is a gapful number since it is divisible by the number (70) 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 7816105004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336247547904).

7816105004400 is an abundant number, since it is smaller than the sum of its proper divisors (28856390091408).

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

7816105004400 is a wasteful number, since it uses less digits than its factorization.

7816105004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 7816105004400 in words is "seven trillion, eight hundred sixteen billion, one hundred five million, four thousand, four hundred".