49980902400 has 1584 divisors, whose sum is σ = 221189780448. Its totient is φ = 10616832000.

The previous prime is 49980902327. The next prime is 49980902407. The reversal of 49980902400 is 420908994.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is not an unprimeable number, because it can be changed into a prime (49980902407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1219046380 + ... + 1219046420.

Almost surely, 2^49980902400 is an apocalyptic number.

49980902400 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 49980902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110594890224).

49980902400 is an abundant number, since it is smaller than the sum of its proper divisors (171208878048).

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

49980902400 is a wasteful number, since it uses less digits than its factorization.

49980902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 49980902400 in words is "forty-nine billion, nine hundred eighty million, nine hundred two thousand, four hundred".