101431388640 has 96 divisors (see below), whose sum is σ = 319718278656. Its totient is φ = 27030643200.

The previous prime is 101431388627. The next prime is 101431388659. The reversal of 101431388640 is 46883134101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672165 + ... + 809115.

It is an arithmetic number, because the mean of its divisors is an integer number (3330398736).

Almost surely, 2^101431388640 is an apocalyptic number.

101431388640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101431388640 is an abundant number, since it is smaller than the sum of its proper divisors (218286890016).

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

101431388640 is a wasteful number, since it uses less digits than its factorization.

101431388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138512 (or 138504 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 101431388640 in words is "one hundred one billion, four hundred thirty-one million, three hundred eighty-eight thousand, six hundred forty".