1400575860864 has 256 divisors, whose sum is σ = 4232932598400. Its totient is φ = 455661158400.

The previous prime is 1400575860863. The next prime is 1400575860883. The reversal of 1400575860864 is 4680685750041.

1400575860864 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 57 + 586 + 0 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×1400575860864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1400575860864.

It is not an unprimeable number, because it can be changed into a prime (1400575860863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267640392 + ... + 267645624.

Almost surely, 2^{1400575860864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400575860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116466299200).

1400575860864 is an abundant number, since it is smaller than the sum of its proper divisors (2832356737536).

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

1400575860864 is a wasteful number, since it uses less digits than its factorization.

1400575860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1400575860864 in words is "one trillion, four hundred billion, five hundred seventy-five million, eight hundred sixty thousand, eight hundred sixty-four".