4000804800000 has 480 divisors, whose sum is σ = 13429084483584. Its totient is φ = 1058319360000.

The previous prime is 4000804799993. The next prime is 4000804800017. The reversal of 4000804800000 is 84080004.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 609596719 + ... + 609603281.

Almost surely, 2^{4000804800000} is an apocalyptic number.

4000804800000 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 4000804800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714542241792).

4000804800000 is an abundant number, since it is smaller than the sum of its proper divisors (9428279683584).

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

4000804800000 is an frugal number, since it uses more digits than its factorization.

4000804800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6700 counting only the distinct ones).

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

Adding to 4000804800000 its reverse (84080004), we get a palindrome (4000888880004).

The spelling of 4000804800000 in words is "four trillion, eight hundred four million, eight hundred thousand".