49414216320 has 1024 divisors, whose sum is σ = 209936563200. Its totient is φ = 10749542400.

The previous prime is 49414216279. The next prime is 49414216363. The reversal of 49414216320 is 2361241494.

49414216320 is a `hidden beast` number, since 4 + 9 + 4 + 14 + 2 + 1 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273006630 + ... + 273006810.

It is an arithmetic number, because the mean of its divisors is an integer number (205016175).

Almost surely, 2^49414216320 is an apocalyptic number.

49414216320 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 49414216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104968281600).

49414216320 is an abundant number, since it is smaller than the sum of its proper divisors (160522346880).

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

49414216320 is a wasteful number, since it uses less digits than its factorization.

49414216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

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

The spelling of 49414216320 in words is "forty-nine billion, four hundred fourteen million, two hundred sixteen thousand, three hundred twenty".