1353380400756 has 48 divisors (see below), whose sum is σ = 3508846246080. Its totient is φ = 451116226080.

The previous prime is 1353380400751. The next prime is 1353380400793. The reversal of 1353380400756 is 6570040833531.

1353380400756 is a `hidden beast` number, since 1 + 3 + 533 + 8 + 0 + 40 + 0 + 75 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353380400751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5473111 + ... + 5715041.

It is an arithmetic number, because the mean of its divisors is an integer number (73100963460).

Almost surely, 2^{1353380400756} is an apocalyptic number.

It is an amenable number.

1353380400756 is an abundant number, since it is smaller than the sum of its proper divisors (2155465845324).

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

1353380400756 is a wasteful number, since it uses less digits than its factorization.

1353380400756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293741 (or 293733 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1353380400756 in words is "one trillion, three hundred fifty-three billion, three hundred eighty million, four hundred thousand, seven hundred fifty-six".