1431921970864 has 160 divisors (see below), whose sum is σ = 3718447718400. Its totient is φ = 517283262720.

The previous prime is 1431921970849. The next prime is 1431921970877. The reversal of 1431921970864 is 4680791291341.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449407 + ... + 1750945.

It is an arithmetic number, because the mean of its divisors is an integer number (23240298240).

Almost surely, 2^{1431921970864} is an apocalyptic number.

1431921970864 is a gapful number since it is divisible by the number (14) 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 1431921970864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859223859200).

1431921970864 is an abundant number, since it is smaller than the sum of its proper divisors (2286525747536).

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

1431921970864 is a wasteful number, since it uses less digits than its factorization.

1431921970864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301631 (or 1301625 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 1431921970864 in words is "one trillion, four hundred thirty-one billion, nine hundred twenty-one million, nine hundred seventy thousand, eight hundred sixty-four".