394998110020800 has 9072 divisors, whose sum is σ = 1916810490276864. Its totient is φ = 79188295680000.

The previous prime is 394998110020793. The next prime is 394998110020889. The reversal of 394998110020800 is 8020011899493.

394998110020800 is a `hidden beast` number, since 39 + 499 + 8 + 110 + 0 + 2 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

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 1295 ways as a sum of consecutive naturals, for example, 6475378852770 + ... + 6475378852830.

Almost surely, 2^{394998110020800} is an apocalyptic number.

394998110020800 is a gapful number since it is divisible by the number (30) 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 394998110020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958405245138432).

394998110020800 is an abundant number, since it is smaller than the sum of its proper divisors (1521812380256064).

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

394998110020800 is a wasteful number, since it uses less digits than its factorization.

394998110020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 394998110020800 in words is "three hundred ninety-four trillion, nine hundred ninety-eight billion, one hundred ten million, twenty thousand, eight hundred".