8409513840 has 320 divisors, whose sum is σ = 33123213312. Its totient is φ = 1716940800.

The previous prime is 8409513817. The next prime is 8409513857. The reversal of 8409513840 is 483159048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8409513792 and 8409513801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670830 + ... + 683250.

Almost surely, 2^8409513840 is an apocalyptic number.

8409513840 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 8409513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561606656).

8409513840 is an abundant number, since it is smaller than the sum of its proper divisors (24713699472).

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

8409513840 is a wasteful number, since it uses less digits than its factorization.

8409513840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8409513840 is about 91703.4014636317. The cubic root of 8409513840 is about 2033.5598710842.

The spelling of 8409513840 in words is "eight billion, four hundred nine million, five hundred thirteen thousand, eight hundred forty".