8399914125120 has 1008 divisors, whose sum is σ = 35275344931008. Its totient is φ = 1896776663040.

The previous prime is 8399914125059. The next prime is 8399914125131. The reversal of 8399914125120 is 215214199938.

It is a happy number.

8399914125120 is a `hidden beast` number, since 8 + 3 + 99 + 91 + 412 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 316236640 + ... + 316263200.

It is an arithmetic number, because the mean of its divisors is an integer number (34995381876).

Almost surely, 2^{8399914125120} is an apocalyptic number.

8399914125120 is a gapful number since it is divisible by the number (80) 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 8399914125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637672465504).

8399914125120 is an abundant number, since it is smaller than the sum of its proper divisors (26875430805888).

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

8399914125120 is a wasteful number, since it uses less digits than its factorization.

8399914125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26690 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 8399914125120 in words is "eight trillion, three hundred ninety-nine billion, nine hundred fourteen million, one hundred twenty-five thousand, one hundred twenty".