49909314000 has 1280 divisors, whose sum is σ = 221505822720. Its totient is φ = 9356083200.

The previous prime is 49909313999. The next prime is 49909314031. The reversal of 49909314000 is 41390994.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49909314000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176357859 + ... + 176358141.

It is an arithmetic number, because the mean of its divisors is an integer number (173051424).

Almost surely, 2^49909314000 is an apocalyptic number.

49909314000 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 49909314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110752911360).

49909314000 is an abundant number, since it is smaller than the sum of its proper divisors (171596508720).

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

49909314000 is a wasteful number, since it uses less digits than its factorization.

49909314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 49909314000 in words is "forty-nine billion, nine hundred nine million, three hundred fourteen thousand".