8040960000 has 390 divisors, whose sum is σ = 29107128050. Its totient is φ = 2138112000.

The previous prime is 8040959981. The next prime is 8040960049. The reversal of 8040960000 is 690408.

It can be written as a sum of positive squares in 5 ways, for example, as 2230861824 + 5810098176 = 47232^2 + 76224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039826 + ... + 23040174.

Almost surely, 2^8040960000 is an apocalyptic number.

8040960000 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 8040960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553564025).

8040960000 is an abundant number, since it is smaller than the sum of its proper divisors (21066168050).

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

8040960000 is an equidigital number, since it uses as much as digits as its factorization.

8040960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8040960000 is about 89671.4001228931. The cubic root of 8040960000 is about 2003.4075244249.

It can be divided in two parts, 80 and 40960000, that multiplied together give a 5-th power (3276800000 = 80⁵).

The spelling of 8040960000 in words is "eight billion, forty million, nine hundred sixty thousand".