49631421600 has 540 divisors, whose sum is σ = 187257729582. Its totient is φ = 12792038400.

The previous prime is 49631421589. The next prime is 49631421607. The reversal of 49631421600 is 612413694.

49631421600 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 1 + 42 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36418378896 + 13213042704 = 190836^2 + 114948^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (49631421607) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62272402 + ... + 62273198.

Almost surely, 2^49631421600 is an apocalyptic number.

49631421600 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 49631421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93628864791).

49631421600 is an abundant number, since it is smaller than the sum of its proper divisors (137626307982).

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

49631421600 is a wasteful number, since it uses less digits than its factorization.

49631421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 49631421600 in words is "forty-nine billion, six hundred thirty-one million, four hundred twenty-one thousand, six hundred".