100431688481280 has 3840 divisors, whose sum is σ = 425300539023360. Its totient is φ = 21663645696000.

The previous prime is 100431688481269. The next prime is 100431688481353. The reversal of 100431688481280 is 82184886134001.

100431688481280 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 1 + 6 + 88 + 481 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 938613910987 + ... + 938613911093.

It is an arithmetic number, because the mean of its divisors is an integer number (110755348704).

Almost surely, 2^{100431688481280} is an apocalyptic number.

100431688481280 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 100431688481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212650269511680).

100431688481280 is an abundant number, since it is smaller than the sum of its proper divisors (324868850542080).

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

100431688481280 is a wasteful number, since it uses less digits than its factorization.

100431688481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 100431688481280 in words is "one hundred trillion, four hundred thirty-one billion, six hundred eighty-eight million, four hundred eighty-one thousand, two hundred eighty".