8008381440 has 352 divisors, whose sum is σ = 29968080000. Its totient is φ = 2022506496.

The previous prime is 8008381439. The next prime is 8008381453. The reversal of 8008381440 is 441838008.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8008381395 and 8008381404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2625036 + ... + 2628084.

Almost surely, 2^8008381440 is an apocalyptic number.

8008381440 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 8008381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984040000).

8008381440 is an abundant number, since it is smaller than the sum of its proper divisors (21959698560).

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

8008381440 is a wasteful number, since it uses less digits than its factorization.

8008381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8008381440 is about 89489.5605084750. The cubic root of 8008381440 is about 2000.6982095567.

The spelling of 8008381440 in words is "eight billion, eight million, three hundred eighty-one thousand, four hundred forty".