816432998400 has 576 divisors, whose sum is σ = 3013166520000. Its totient is φ = 216680693760.

The previous prime is 816432998299. The next prime is 816432998411. The reversal of 816432998400 is 4899234618.

816432998400 is a `hidden beast` number, since 81 + 6 + 432 + 9 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316568311 + ... + 316570889.

It is an arithmetic number, because the mean of its divisors is an integer number (5231191875).

Almost surely, 2^816432998400 is an apocalyptic number.

816432998400 is a gapful number since it is divisible by the number (80) 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 816432998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506583260000).

816432998400 is an abundant number, since it is smaller than the sum of its proper divisors (2196733521600).

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

816432998400 is a wasteful number, since it uses less digits than its factorization.

816432998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 816432998400 in words is "eight hundred sixteen billion, four hundred thirty-two million, nine hundred ninety-eight thousand, four hundred".