49625702400 has 504 divisors, whose sum is σ = 171498554640. Its totient is φ = 12657623040.

The previous prime is 49625702381. The next prime is 49625702447. The reversal of 49625702400 is 420752694.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 841113571 + ... + 841113629.

It is an arithmetic number, because the mean of its divisors is an integer number (340274910).

Almost surely, 2^49625702400 is an apocalyptic number.

49625702400 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 49625702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85749277320).

49625702400 is an abundant number, since it is smaller than the sum of its proper divisors (121872852240).

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

49625702400 is an equidigital number, since it uses as much as digits as its factorization.

49625702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 49625702400 in words is "forty-nine billion, six hundred twenty-five million, seven hundred two thousand, four hundred".