2199351398400 has 1404 divisors, whose sum is σ = 8863033281648. Its totient is φ = 540343664640.

The previous prime is 2199351398369. The next prime is 2199351398417. The reversal of 2199351398400 is 48931539912.

2199351398400 is a `hidden beast` number, since 2 + 19 + 93 + 5 + 139 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1404).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4205260539 + ... + 4205261061.

Almost surely, 2^{2199351398400} is an apocalyptic number.

2199351398400 is a gapful number since it is divisible by the number (20) 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 2199351398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431516640824).

2199351398400 is an abundant number, since it is smaller than the sum of its proper divisors (6663681883248).

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

2199351398400 is an equidigital number, since it uses as much as digits as its factorization.

2199351398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 2199351398400 in words is "two trillion, one hundred ninety-nine billion, three hundred fifty-one million, three hundred ninety-eight thousand, four hundred".