1407979883520 has 1056 divisors, whose sum is σ = 5802543452160. Its totient is φ = 308896727040.

The previous prime is 1407979883483. The next prime is 1407979883533. The reversal of 1407979883520 is 253889797041.

1407979883520 is a `hidden beast` number, since 1 + 407 + 97 + 98 + 8 + 3 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1389910534 + ... + 1389911546.

Almost surely, 2^{1407979883520} is an apocalyptic number.

1407979883520 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 1407979883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901271726080).

1407979883520 is an abundant number, since it is smaller than the sum of its proper divisors (4394563568640).

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

1407979883520 is a wasteful number, since it uses less digits than its factorization.

1407979883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1407979883520 in words is "one trillion, four hundred seven billion, nine hundred seventy-nine million, eight hundred eighty-three thousand, five hundred twenty".