49427301600 has 360 divisors, whose sum is σ = 181204808400. Its totient is φ = 13110958080.

The previous prime is 49427301587. The next prime is 49427301601. The reversal of 49427301600 is 610372494.

49427301600 is a `hidden beast` number, since 4 + 9 + 42 + 7 + 3 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49427301601) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 12893284 + ... + 12897116.

It is an arithmetic number, because the mean of its divisors is an integer number (503346690).

Almost surely, 2^49427301600 is an apocalyptic number.

49427301600 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 49427301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90602404200).

49427301600 is an abundant number, since it is smaller than the sum of its proper divisors (131777506800).

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

49427301600 is a wasteful number, since it uses less digits than its factorization.

49427301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 49427301600 in words is "forty-nine billion, four hundred twenty-seven million, three hundred one thousand, six hundred".