1340256301164 has 72 divisors (see below), whose sum is σ = 3701270244672. Its totient is φ = 405543552480.

The previous prime is 1340256301121. The next prime is 1340256301177. The reversal of 1340256301164 is 4611036520431.

1340256301164 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 5 + 630 + 1 + 16 + 4 = 666.

It is a super-3 number, since 3×1340256301164³ (a number of 37 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2207194 + ... + 2748129.

It is an arithmetic number, because the mean of its divisors is an integer number (51406531176).

Almost surely, 2^{1340256301164} is an apocalyptic number.

It is an amenable number.

1340256301164 is an abundant number, since it is smaller than the sum of its proper divisors (2361013943508).

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

1340256301164 is a wasteful number, since it uses less digits than its factorization.

1340256301164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956027 (or 4956022 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1340256301164 in words is "one trillion, three hundred forty billion, two hundred fifty-six million, three hundred one thousand, one hundred sixty-four".