12439498086400 has 1152 divisors, whose sum is σ = 41064371712000. Its totient is φ = 3619897344000.

The previous prime is 12439498086383. The next prime is 12439498086413. The reversal of 12439498086400 is 468089493421.

It is a super-2 number, since 2×12439498086400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5318296431 + ... + 5318298769.

It is an arithmetic number, because the mean of its divisors is an integer number (35646156000).

Almost surely, 2^{12439498086400} is an apocalyptic number.

12439498086400 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 12439498086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532185856000).

12439498086400 is an abundant number, since it is smaller than the sum of its proper divisors (28624873625600).

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

12439498086400 is a wasteful number, since it uses less digits than its factorization.

12439498086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 12439498086400 in words is "twelve trillion, four hundred thirty-nine billion, four hundred ninety-eight million, eighty-six thousand, four hundred".