49005734400 has 960 divisors, whose sum is σ = 210432245760. Its totient is φ = 10937548800.

The previous prime is 49005734339. The next prime is 49005734431. The reversal of 49005734400 is 443750094.

49005734400 is a `hidden beast` number, since 49 + 0 + 0 + 573 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 113702185 + ... + 113702615.

It is an arithmetic number, because the mean of its divisors is an integer number (219200256).

Almost surely, 2^49005734400 is an apocalyptic number.

49005734400 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 49005734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105216122880).

49005734400 is an abundant number, since it is smaller than the sum of its proper divisors (161426511360).

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

49005734400 is a wasteful number, since it uses less digits than its factorization.

49005734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 49005734400 in words is "forty-nine billion, five million, seven hundred thirty-four thousand, four hundred".