8400319488 has 528 divisors, whose sum is σ = 28575464960. Its totient is φ = 2463436800.

The previous prime is 8400319469. The next prime is 8400319511. The reversal of 8400319488 is 8849130048.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270978033 + ... + 270978063.

Almost surely, 2^8400319488 is an apocalyptic number.

8400319488 is a gapful number since it is divisible by the number (88) 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 8400319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287732480).

8400319488 is an abundant number, since it is smaller than the sum of its proper divisors (20175145472).

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

8400319488 is an equidigital number, since it uses as much as digits as its factorization.

8400319488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8400319488 is about 91653.2568324770. The cubic root of 8400319488 is about 2032.8184852426.

The spelling of 8400319488 in words is "eight billion, four hundred million, three hundred nineteen thousand, four hundred eighty-eight".