8009815242240 has 240 divisors, whose sum is σ = 31703135431968. Its totient is φ = 1830814875648.

The previous prime is 8009815242227. The next prime is 8009815242241. The reversal of 8009815242240 is 422425189008.

8009815242240 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 81 + 524 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009815242241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24670737 + ... + 24993296.

Almost surely, 2^{8009815242240} is an apocalyptic number.

8009815242240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8009815242240 is an abundant number, since it is smaller than the sum of its proper divisors (23693320189728).

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

8009815242240 is a wasteful number, since it uses less digits than its factorization.

8009815242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49664069 (or 49664050 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8009815242240 in words is "eight trillion, nine billion, eight hundred fifteen million, two hundred forty-two thousand, two hundred forty".