47631494400 has 216 divisors, whose sum is σ = 179650626624. Its totient is φ = 10887168000.

The previous prime is 47631494381. The next prime is 47631494437. The reversal of 47631494400 is 449413674.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42801 + ... + 311600.

It is an arithmetic number, because the mean of its divisors is an integer number (831715864).

Almost surely, 2^47631494400 is an apocalyptic number.

47631494400 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 47631494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89825313312).

47631494400 is an abundant number, since it is smaller than the sum of its proper divisors (132019132224).

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

47631494400 is a wasteful number, since it uses less digits than its factorization.

47631494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354437 (or 354418 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 47631494400 in words is "forty-seven billion, six hundred thirty-one million, four hundred ninety-four thousand, four hundred".