49041832320 has 768 divisors, whose sum is σ = 191616122880. Its totient is φ = 11914076160.

The previous prime is 49041832319. The next prime is 49041832337. The reversal of 49041832320 is 2323814094.

49041832320 is a `hidden beast` number, since 4 + 9 + 0 + 418 + 3 + 232 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 256763425 + ... + 256763615.

It is an arithmetic number, because the mean of its divisors is an integer number (249500160).

Almost surely, 2^49041832320 is an apocalyptic number.

49041832320 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 49041832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95808061440).

49041832320 is an abundant number, since it is smaller than the sum of its proper divisors (142574290560).

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

49041832320 is a wasteful number, since it uses less digits than its factorization.

49041832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 49041832320 in words is "forty-nine billion, forty-one million, eight hundred thirty-two thousand, three hundred twenty".