1357941730320 has 800 divisors, whose sum is σ = 5541549032448. Its totient is φ = 301734429696.

The previous prime is 1357941730291. The next prime is 1357941730351. The reversal of 1357941730320 is 230371497531.

1357941730320 is a `hidden beast` number, since 1 + 3 + 579 + 4 + 1 + 73 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 442757427 + ... + 442760493.

Almost surely, 2^{1357941730320} is an apocalyptic number.

1357941730320 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 1357941730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770774516224).

1357941730320 is an abundant number, since it is smaller than the sum of its proper divisors (4183607302128).

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

1357941730320 is a wasteful number, since it uses less digits than its factorization.

1357941730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1357941730320 in words is "one trillion, three hundred fifty-seven billion, nine hundred forty-one million, seven hundred thirty thousand, three hundred twenty".