101432682086400 has 2052 divisors, whose sum is σ = 432490629355408. Its totient is φ = 23115815976960.

The previous prime is 101432682086363. The next prime is 101432682086423. The reversal of 101432682086400 is 4680286234101.

101432682086400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 32 + 6 + 8 + 208 + 6 + 400 = 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 107 ways as a sum of consecutive naturals, for example, 300987187032 + ... + 300987187368.

Almost surely, 2^{101432682086400} is an apocalyptic number.

101432682086400 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 101432682086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216245314677704).

101432682086400 is an abundant number, since it is smaller than the sum of its proper divisors (331057947269008).

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

101432682086400 is an frugal number, since it uses more digits than its factorization.

101432682086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 101432682086400 in words is "one hundred one trillion, four hundred thirty-two billion, six hundred eighty-two million, eighty-six thousand, four hundred".