1416613431360 has 224 divisors, whose sum is σ = 4694649569280. Its totient is φ = 361235331072.

The previous prime is 1416613431323. The next prime is 1416613431397. The reversal of 1416613431360 is 631343166141.

It is an interprime number because it is at equal distance from previous prime (1416613431323) and next prime (1416613431397).

It is a super-2 number, since 2×1416613431360² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 102952161 + ... + 102965919.

Almost surely, 2^{1416613431360} is an apocalyptic number.

1416613431360 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 1416613431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347324784640).

1416613431360 is an abundant number, since it is smaller than the sum of its proper divisors (3278036137920).

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

1416613431360 is a wasteful number, since it uses less digits than its factorization.

1416613431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18455 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 1416613431360 in words is "one trillion, four hundred sixteen billion, six hundred thirteen million, four hundred thirty-one thousand, three hundred sixty".