49901725440 has 864 divisors, whose sum is σ = 205284643200. Its totient is φ = 11184832512.

The previous prime is 49901725439. The next prime is 49901725481. The reversal of 49901725440 is 4452710994.

49901725440 is a `hidden beast` number, since 4 + 9 + 90 + 17 + 2 + 544 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 288449194 + ... + 288449366.

Almost surely, 2^49901725440 is an apocalyptic number.

49901725440 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 49901725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102642321600).

49901725440 is an abundant number, since it is smaller than the sum of its proper divisors (155382917760).

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

49901725440 is a wasteful number, since it uses less digits than its factorization.

49901725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 49901725440 in words is "forty-nine billion, nine hundred one million, seven hundred twenty-five thousand, four hundred forty".