1357142256000 has 512 divisors, whose sum is σ = 5004718617600. Its totient is φ = 361476864000.

The previous prime is 1357142255971. The next prime is 1357142256011. The reversal of 1357142256000 is 6522417531.

1357142256000 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 42 + 2 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562894795 + ... + 562897205.

It is an arithmetic number, because the mean of its divisors is an integer number (9774841050).

Almost surely, 2^{1357142256000} is an apocalyptic number.

1357142256000 is a gapful number since it is divisible by the number (10) 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 1357142256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502359308800).

1357142256000 is an abundant number, since it is smaller than the sum of its proper divisors (3647576361600).

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

1357142256000 is a wasteful number, since it uses less digits than its factorization.

1357142256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1357142256000 in words is "one trillion, three hundred fifty-seven billion, one hundred forty-two million, two hundred fifty-six thousand".