49328222400 has 756 divisors, whose sum is σ = 188450898688. Its totient is φ = 12697896960.

The previous prime is 49328222399. The next prime is 49328222401. The reversal of 49328222400 is 422282394.

49328222400 is a `hidden beast` number, since 4 + 9 + 3 + 28 + 222 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (49328222399) and next prime (49328222401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49328222401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 388411137 + ... + 388411263.

Almost surely, 2^49328222400 is an apocalyptic number.

49328222400 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 49328222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94225449344).

49328222400 is an abundant number, since it is smaller than the sum of its proper divisors (139122676288).

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

49328222400 is an equidigital number, since it uses as much as digits as its factorization.

49328222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 49328222400 in words is "forty-nine billion, three hundred twenty-eight million, two hundred twenty-two thousand, four hundred".