49989638400 has 864 divisors, whose sum is σ = 190761123840. Its totient is φ = 11426365440.

The previous prime is 49989638339. The next prime is 49989638467. The reversal of 49989638400 is 483698994.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393619137 + ... + 393619263.

Almost surely, 2^49989638400 is an apocalyptic number.

49989638400 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 49989638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95380561920).

49989638400 is an abundant number, since it is smaller than the sum of its proper divisors (140771485440).

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

49989638400 is a wasteful number, since it uses less digits than its factorization.

49989638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 49989638400 in words is "forty-nine billion, nine hundred eighty-nine million, six hundred thirty-eight thousand, four hundred".