8438438421504 has 1408 divisors, whose sum is σ = 31564040417280. Its totient is φ = 2167999561728.

The previous prime is 8438438421499. The next prime is 8438438421533. The reversal of 8438438421504 is 4051248348348.

8438438421504 is a `hidden beast` number, since 8 + 4 + 3 + 84 + 38 + 4 + 21 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19048393507 + ... + 19048393949.

Almost surely, 2^{8438438421504} is an apocalyptic number.

8438438421504 is a gapful number since it is divisible by the number (84) 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 8438438421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782020208640).

8438438421504 is an abundant number, since it is smaller than the sum of its proper divisors (23125601995776).

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

8438438421504 is a wasteful number, since it uses less digits than its factorization.

8438438421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 8438438421504 in words is "eight trillion, four hundred thirty-eight billion, four hundred thirty-eight million, four hundred twenty-one thousand, five hundred four".