8040017905920 has 6912 divisors, whose sum is σ = 43198164172800. Its totient is φ = 1404606873600.

The previous prime is 8040017905891. The next prime is 8040017905921. The reversal of 8040017905920 is 295097100408.

8040017905920 is a `hidden beast` number, since 8 + 0 + 40 + 0 + 17 + 9 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 (8040017905921) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 259355416305 + ... + 259355416335.

It is an arithmetic number, because the mean of its divisors is an integer number (6249734400).

Almost surely, 2^{8040017905920} is an apocalyptic number.

8040017905920 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 8040017905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599082086400).

8040017905920 is an abundant number, since it is smaller than the sum of its proper divisors (35158146266880).

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

8040017905920 is a wasteful number, since it uses less digits than its factorization.

8040017905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 8040017905920 in words is "eight trillion, forty billion, seventeen million, nine hundred five thousand, nine hundred twenty".