8414924468240 has 40 divisors (see below), whose sum is σ = 19567250626968. Its totient is φ = 3365530864640.

The previous prime is 8414924468239. The next prime is 8414924468309. The reversal of 8414924468240 is 428644294148.

It can be written as a sum of positive squares in 4 ways, for example, as 1556475817744 + 6858448650496 = 1247588^2 + 2618864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6240491 + ... + 7468170.

Almost surely, 2^{8414924468240} is an apocalyptic number.

8414924468240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8414924468240 is an abundant number, since it is smaller than the sum of its proper divisors (11152326158728).

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

8414924468240 is a wasteful number, since it uses less digits than its factorization.

8414924468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716347 (or 13716341 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 8414924468240 in words is "eight trillion, four hundred fourteen billion, nine hundred twenty-four million, four hundred sixty-eight thousand, two hundred forty".