49939016400 has 1920 divisors, whose sum is σ = 240234624000. Its totient is φ = 9754214400.

The previous prime is 49939016371. The next prime is 49939016411. The reversal of 49939016400 is 461093994.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 818672370 + ... + 818672430.

It is an arithmetic number, because the mean of its divisors is an integer number (125122200).

Almost surely, 2^49939016400 is an apocalyptic number.

49939016400 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 49939016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120117312000).

49939016400 is an abundant number, since it is smaller than the sum of its proper divisors (190295607600).

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

49939016400 is a wasteful number, since it uses less digits than its factorization.

49939016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 49939016400 in words is "forty-nine billion, nine hundred thirty-nine million, sixteen thousand, four hundred".