101404972800 has 648 divisors, whose sum is σ = 397220045040. Its totient is φ = 24566169600.

The previous prime is 101404972793. The next prime is 101404972853. The reversal of 101404972800 is 8279404101.

101404972800 is a `hidden beast` number, since 1 + 0 + 140 + 497 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28395015 + ... + 28398585.

Almost surely, 2^101404972800 is an apocalyptic number.

101404972800 is a gapful number since it is divisible by the number (10) 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 101404972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198610022520).

101404972800 is an abundant number, since it is smaller than the sum of its proper divisors (295815072240).

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

101404972800 is a wasteful number, since it uses less digits than its factorization.

101404972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 101404972800 in words is "one hundred one billion, four hundred four million, nine hundred seventy-two thousand, eight hundred".