8517481440 has 384 divisors, whose sum is σ = 31932859392. Its totient is φ = 1886945280.

The previous prime is 8517481429. The next prime is 8517481499. The reversal of 8517481440 is 441847158.

It is a junction number, because it is equal to n+sod(n) for n = 8517481392 and 8517481401.

It is a congruent number.

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, 2438095 + ... + 2441585.

It is an arithmetic number, because the mean of its divisors is an integer number (83158488).

Almost surely, 2^8517481440 is an apocalyptic number.

8517481440 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 8517481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966429696).

8517481440 is an abundant number, since it is smaller than the sum of its proper divisors (23415377952).

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

8517481440 is a wasteful number, since it uses less digits than its factorization.

8517481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 8517481440 is about 92290.2022968852. The cubic root of 8517481440 is about 2042.2256754415.

The spelling of 8517481440 in words is "eight billion, five hundred seventeen million, four hundred eighty-one thousand, four hundred forty".