49330048204800 has 1458 divisors, whose sum is σ = 201430206585244. Its totient is φ = 11958799564800.

The previous prime is 49330048204649. The next prime is 49330048204819. The reversal of 49330048204800 is 840284003394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49330048204800 is a `hidden beast` number, since 4 + 93 + 3 + 0 + 0 + 4 + 82 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4484549836795 + ... + 4484549836805.

Almost surely, 2^{49330048204800} is an apocalyptic number.

49330048204800 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 49330048204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100715103292622).

49330048204800 is an abundant number, since it is smaller than the sum of its proper divisors (152100158380444).

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

49330048204800 is an frugal number, since it uses more digits than its factorization.

49330048204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 49330048204800 in words is "forty-nine trillion, three hundred thirty billion, forty-eight million, two hundred four thousand, eight hundred".