1400436516456 has 32 divisors (see below), whose sum is σ = 3890101435200. Its totient is φ = 466812172080.

The previous prime is 1400436516433. The next prime is 1400436516461. The reversal of 1400436516456 is 6546156340041.

1400436516456 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 436 + 5 + 164 + 56 = 666.

It is a super-2 number, since 2×1400436516456² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241750980 + ... + 3241751411.

It is an arithmetic number, because the mean of its divisors is an integer number (121565669850).

Almost surely, 2^{1400436516456} is an apocalyptic number.

It is an amenable number.

1400436516456 is an abundant number, since it is smaller than the sum of its proper divisors (2489664918744).

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

1400436516456 is a wasteful number, since it uses less digits than its factorization.

1400436516456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483502406 (or 6483502396 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1400436516456 in words is "one trillion, four hundred billion, four hundred thirty-six million, five hundred sixteen thousand, four hundred fifty-six".