8402365440 has 704 divisors, whose sum is σ = 36000998400. Its totient is φ = 1815478272.

The previous prime is 8402365403. The next prime is 8402365469. The reversal of 8402365440 is 445632048.

8402365440 is a `hidden beast` number, since 84 + 0 + 2 + 36 + 544 + 0 = 666.

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 = 8402365395 and 8402365404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18385692 + ... + 18386148.

Almost surely, 2^8402365440 is an apocalyptic number.

8402365440 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 8402365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000499200).

8402365440 is an abundant number, since it is smaller than the sum of its proper divisors (27598632960).

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

8402365440 is a wasteful number, since it uses less digits than its factorization.

8402365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 8402365440 is about 91664.4175239226. The cubic root of 8402365440 is about 2032.9835071977.

Adding to 8402365440 its reverse (445632048), we get a palindrome (8847997488).

The spelling of 8402365440 in words is "eight billion, four hundred two million, three hundred sixty-five thousand, four hundred forty".