1413970348032 has 288 divisors, whose sum is σ = 4608703008000. Its totient is φ = 413699112960.

The previous prime is 1413970347997. The next prime is 1413970348051. The reversal of 1413970348032 is 2308430793141.

1413970348032 is a `hidden beast` number, since 1 + 4 + 139 + 7 + 0 + 3 + 480 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1413970348032² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5759569 + ... + 6000047.

It is an arithmetic number, because the mean of its divisors is an integer number (16002441000).

Almost surely, 2^{1413970348032} is an apocalyptic number.

1413970348032 is a gapful number since it is divisible by the number (12) 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 1413970348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304351504000).

1413970348032 is an abundant number, since it is smaller than the sum of its proper divisors (3194732659968).

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

1413970348032 is a wasteful number, since it uses less digits than its factorization.

1413970348032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240547 (or 240524 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1413970348032 in words is "one trillion, four hundred thirteen billion, nine hundred seventy million, three hundred forty-eight thousand, thirty-two".