48631821404400 has 2880 divisors, whose sum is σ = 204791492505600. Its totient is φ = 10576355328000.

The previous prime is 48631821404377. The next prime is 48631821404429. The reversal of 48631821404400 is 440412813684.

48631821404400 is a `hidden beast` number, since 4 + 8 + 63 + 1 + 8 + 2 + 140 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 105492020170 + ... + 105492020630.

It is an arithmetic number, because the mean of its divisors is an integer number (71108157120).

Almost surely, 2^{48631821404400} is an apocalyptic number.

48631821404400 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 48631821404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102395746252800).

48631821404400 is an abundant number, since it is smaller than the sum of its proper divisors (156159671101200).

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

48631821404400 is a wasteful number, since it uses less digits than its factorization.

48631821404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48631821404400 in words is "forty-eight trillion, six hundred thirty-one billion, eight hundred twenty-one million, four hundred four thousand, four hundred".