8000400880000 has 160 divisors (see below), whose sum is σ = 20292291700560. Its totient is φ = 3139778304000.

The previous prime is 8000400879959. The next prime is 8000400880039. The reversal of 8000400880000 is 880040008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3296557 + ... + 5183443.

Almost surely, 2^{8000400880000} is an apocalyptic number.

8000400880000 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 8000400880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146145850280).

8000400880000 is an abundant number, since it is smaller than the sum of its proper divisors (12291890820560).

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

8000400880000 is an equidigital number, since it uses as much as digits as its factorization.

8000400880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886974 (or 1886947 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

It can be divided in two parts, 8000400 and 880000, that added together give a square (8880400 = 2980²).

The spelling of 8000400880000 in words is "eight trillion, four hundred million, eight hundred eighty thousand".