101472782400 has 1680 divisors, whose sum is σ = 444516906240. Its totient is φ = 22428057600.

The previous prime is 101472782399. The next prime is 101472782429. The reversal of 101472782400 is 4287274101.

101472782400 is a `hidden beast` number, since 1 + 0 + 147 + 278 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1284465561 + ... + 1284465639.

Almost surely, 2^101472782400 is an apocalyptic number.

101472782400 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 101472782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222258453120).

101472782400 is an abundant number, since it is smaller than the sum of its proper divisors (343044123840).

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

101472782400 is a wasteful number, since it uses less digits than its factorization.

101472782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 101472782400 in words is "one hundred one billion, four hundred seventy-two million, seven hundred eighty-two thousand, four hundred".