16801399300400 has 480 divisors, whose sum is σ = 48128098271232. Its totient is φ = 5555871129600.

The previous prime is 16801399300339. The next prime is 16801399300403. The reversal of 16801399300400 is 400399310861.

It is a Cunningham number, because it is equal to 4098951²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (16801399300403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4689197009 + ... + 4689200591.

Almost surely, 2^{16801399300400} is an apocalyptic number.

16801399300400 is a gapful number since it is divisible by the number (10) 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 16801399300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064049135616).

16801399300400 is an abundant number, since it is smaller than the sum of its proper divisors (31326698970832).

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

16801399300400 is a wasteful number, since it uses less digits than its factorization.

16801399300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 16801399300400 in words is "sixteen trillion, eight hundred one billion, three hundred ninety-nine million, three hundred thousand, four hundred".