4000804080000 has 1280 divisors, whose sum is σ = 16789333693440. Its totient is φ = 821145600000.

The previous prime is 4000804079989. The next prime is 4000804080023. The reversal of 4000804080000 is 804080004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 808077525 + ... + 808082475.

It is an arithmetic number, because the mean of its divisors is an integer number (13116666948).

Almost surely, 2^{4000804080000} is an apocalyptic number.

4000804080000 is a gapful number since it is divisible by the number (40) 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 4000804080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394666846720).

4000804080000 is an abundant number, since it is smaller than the sum of its proper divisors (12788529613440).

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

4000804080000 is a wasteful number, since it uses less digits than its factorization.

4000804080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 4000804080000 in words is "four trillion, eight hundred four million, eighty thousand".