49396838400 has 1872 divisors, whose sum is σ = 236613744640. Its totient is φ = 9555148800.

The previous prime is 49396838383. The next prime is 49396838401. The reversal of 49396838400 is 483869394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49396838401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1593446385 + ... + 1593446415.

Almost surely, 2^49396838400 is an apocalyptic number.

49396838400 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 49396838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118306872320).

49396838400 is an abundant number, since it is smaller than the sum of its proper divisors (187216906240).

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

49396838400 is a wasteful number, since it uses less digits than its factorization.

49396838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 49396838400 in words is "forty-nine billion, three hundred ninety-six million, eight hundred thirty-eight thousand, four hundred".