1400021086464 has 864 divisors, whose sum is σ = 5620761129984. Its totient is φ = 335654461440.

The previous prime is 1400021086397. The next prime is 1400021086489. The reversal of 1400021086464 is 4646801200041.

It is a happy number.

1400021086464 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 0 + 2 + 1 + 0 + 8 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 62258967 + ... + 62281449.

Almost surely, 2^{1400021086464} is an apocalyptic number.

1400021086464 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 1400021086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810380564992).

1400021086464 is an abundant number, since it is smaller than the sum of its proper divisors (4220740043520).

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

1400021086464 is a wasteful number, since it uses less digits than its factorization.

1400021086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22545 (or 22519 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1400021086464 in words is "one trillion, four hundred billion, twenty-one million, eighty-six thousand, four hundred sixty-four".