8381399040 has 648 divisors, whose sum is σ = 34964633340. Its totient is φ = 1849688064.

The previous prime is 8381399023. The next prime is 8381399053. The reversal of 8381399040 is 409931838.

It can be written as a sum of positive squares in 2 ways, for example, as 8352497664 + 28901376 = 91392^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289013746 + ... + 289013774.

Almost surely, 2^8381399040 is an apocalyptic number.

8381399040 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 8381399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482316670).

8381399040 is an abundant number, since it is smaller than the sum of its proper divisors (26583234300).

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

8381399040 is an equidigital number, since it uses as much as digits as its factorization.

8381399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8381399040 is about 91549.9811032203. The cubic root of 8381399040 is about 2031.2911326550.

The spelling of 8381399040 in words is "eight billion, three hundred eighty-one million, three hundred ninety-nine thousand, forty".