1413605590656 has 128 divisors (see below), whose sum is σ = 4294850352000. Its totient is φ = 403553415168.

The previous prime is 1413605590637. The next prime is 1413605590679. The reversal of 1413605590656 is 6560955063141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1413605590599 and 1413605590608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3043770 + ... + 3477318.

It is an arithmetic number, because the mean of its divisors is an integer number (33553518375).

Almost surely, 2^{1413605590656} is an apocalyptic number.

1413605590656 is a gapful number since it is divisible by the number (16) 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 1413605590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147425176000).

1413605590656 is an abundant number, since it is smaller than the sum of its proper divisors (2881244761344).

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

1413605590656 is a wasteful number, since it uses less digits than its factorization.

1413605590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434786 (or 434774 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 1413605590656 in words is "one trillion, four hundred thirteen billion, six hundred five million, five hundred ninety thousand, six hundred fifty-six".