49597814400 has 192 divisors, whose sum is σ = 163515114720. Its totient is φ = 13213757440.

The previous prime is 49597814359. The next prime is 49597814401. The reversal of 49597814400 is 441879594.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (49597814401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15483199 + ... + 15486401.

Almost surely, 2^49597814400 is an apocalyptic number.

49597814400 is a gapful number since it is divisible by the number (40) 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 49597814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81757557360).

49597814400 is an abundant number, since it is smaller than the sum of its proper divisors (113917300320).

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

49597814400 is a wasteful number, since it uses less digits than its factorization.

49597814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 49597814400 in words is "forty-nine billion, five hundred ninety-seven million, eight hundred fourteen thousand, four hundred".