49959599040 has 896 divisors, whose sum is σ = 201302599680. Its totient is φ = 11571462144.

The previous prime is 49959599029. The next prime is 49959599051. The reversal of 49959599040 is 4099595994.

It is a happy number.

49959599040 is a `hidden beast` number, since 499 + 5 + 9 + 59 + 90 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49959599029) and next prime (49959599051).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214418764 + ... + 214418996.

It is an arithmetic number, because the mean of its divisors is an integer number (224668080).

Almost surely, 2^49959599040 is an apocalyptic number.

49959599040 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 49959599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651299840).

49959599040 is an abundant number, since it is smaller than the sum of its proper divisors (151343000640).

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

49959599040 is a wasteful number, since it uses less digits than its factorization.

49959599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 49959599040 in words is "forty-nine billion, nine hundred fifty-nine million, five hundred ninety-nine thousand, forty".