49234910400 has 1176 divisors, whose sum is σ = 208203174144. Its totient is φ = 11346739200.

The previous prime is 49234910381. The next prime is 49234910401. The reversal of 49234910400 is 401943294.

49234910400 is a `hidden beast` number, since 4 + 9 + 234 + 9 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49234910401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 257774305 + ... + 257774495.

Almost surely, 2^49234910400 is an apocalyptic number.

49234910400 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 49234910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104101587072).

49234910400 is an abundant number, since it is smaller than the sum of its proper divisors (158968263744).

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

49234910400 is a wasteful number, since it uses less digits than its factorization.

49234910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 49234910400 in words is "forty-nine billion, two hundred thirty-four million, nine hundred ten thousand, four hundred".