1413601390080 has 1280 divisors, whose sum is σ = 5764966732800. Its totient is φ = 325140480000.

The previous prime is 1413601390057. The next prime is 1413601390081. The reversal of 1413601390080 is 800931063141.

1413601390080 is a `hidden beast` number, since 1 + 4 + 13 + 601 + 39 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1413601390080² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413601390081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1345005555 + ... + 1345006605.

It is an arithmetic number, because the mean of its divisors is an integer number (4503880260).

Almost surely, 2^{1413601390080} is an apocalyptic number.

1413601390080 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 1413601390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882483366400).

1413601390080 is an abundant number, since it is smaller than the sum of its proper divisors (4351365342720).

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

1413601390080 is a wasteful number, since it uses less digits than its factorization.

1413601390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1413601390080 in words is "one trillion, four hundred thirteen billion, six hundred one million, three hundred ninety thousand, eighty".