49167734400 has 192 divisors, whose sum is σ = 179940566400. Its totient is φ = 13111372800.

The previous prime is 49167734387. The next prime is 49167734417. The reversal of 49167734400 is 443776194.

49167734400 is a `hidden beast` number, since 49 + 167 + 7 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×49167734400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198136 + ... + 370935.

It is an arithmetic number, because the mean of its divisors is an integer number (937190450).

Almost surely, 2^49167734400 is an apocalyptic number.

49167734400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49167734400 is an abundant number, since it is smaller than the sum of its proper divisors (130772832000).

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

49167734400 is a wasteful number, since it uses less digits than its factorization.

49167734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569104 (or 569081 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 49167734400 in words is "forty-nine billion, one hundred sixty-seven million, seven hundred thirty-four thousand, four hundred".