49948430400 has 504 divisors, whose sum is σ = 198416863008. Its totient is φ = 11811840000.

The previous prime is 49948430369. The next prime is 49948430417. The reversal of 49948430400 is 403484994.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6490555 + ... + 6498245.

It is an arithmetic number, because the mean of its divisors is an integer number (393684252).

Almost surely, 2^49948430400 is an apocalyptic number.

49948430400 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 49948430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99208431504).

49948430400 is an abundant number, since it is smaller than the sum of its proper divisors (148468432608).

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

49948430400 is a wasteful number, since it uses less digits than its factorization.

49948430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 49948430400 in words is "forty-nine billion, nine hundred forty-eight million, four hundred thirty thousand, four hundred".