1353344590080 has 432 divisors, whose sum is σ = 5361749178240. Its totient is φ = 308734820352.

The previous prime is 1353344590019. The next prime is 1353344590123. The reversal of 1353344590080 is 800954433531.

1353344590080 is a `hidden beast` number, since 1 + 3 + 53 + 3 + 4 + 4 + 590 + 0 + 8 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42158676 + ... + 42190764.

Almost surely, 2^{1353344590080} is an apocalyptic number.

1353344590080 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 1353344590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680874589120).

1353344590080 is an abundant number, since it is smaller than the sum of its proper divisors (4008404588160).

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

1353344590080 is a wasteful number, since it uses less digits than its factorization.

1353344590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32646 (or 32629 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1353344590080 in words is "one trillion, three hundred fifty-three billion, three hundred forty-four million, five hundred ninety thousand, eighty".