49474293004800 has 1920 divisors, whose sum is σ = 196400506705920. Its totient is φ = 12319154749440.

The previous prime is 49474293004727. The next prime is 49474293004813. The reversal of 49474293004800 is 840039247494.

49474293004800 is a `hidden beast` number, since 4 + 9 + 4 + 74 + 2 + 93 + 0 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27685669507 + ... + 27685671293.

It is an arithmetic number, because the mean of its divisors is an integer number (102291930576).

Almost surely, 2^{49474293004800} is an apocalyptic number.

49474293004800 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 49474293004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98200253352960).

49474293004800 is an abundant number, since it is smaller than the sum of its proper divisors (146926213701120).

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

49474293004800 is an equidigital number, since it uses as much as digits as its factorization.

49474293004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 49474293004800 in words is "forty-nine trillion, four hundred seventy-four billion, two hundred ninety-three million, four thousand, eight hundred".