8013384422400 has 1056 divisors, whose sum is σ = 31185511142400. Its totient is φ = 1813874442240.

The previous prime is 8013384422311. The next prime is 8013384422489. The reversal of 8013384422400 is 42244833108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8013384422311) and next prime (8013384422489).

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, 2818635379 + ... + 2818638221.

Almost surely, 2^{8013384422400} is an apocalyptic number.

8013384422400 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 8013384422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592755571200).

8013384422400 is an abundant number, since it is smaller than the sum of its proper divisors (23172126720000).

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

8013384422400 is a wasteful number, since it uses less digits than its factorization.

8013384422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 8013384422400 in words is "eight trillion, thirteen billion, three hundred eighty-four million, four hundred twenty-two thousand, four hundred".