4040884000800 has 360 divisors, whose sum is σ = 15211690889472. Its totient is φ = 1042808256000.

The previous prime is 4040884000787. The next prime is 4040884000823. The reversal of 4040884000800 is 80004880404.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1003005 + ... + 3014595.

Almost surely, 2^{4040884000800} is an apocalyptic number.

4040884000800 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 4040884000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605845444736).

4040884000800 is an abundant number, since it is smaller than the sum of its proper divisors (11170806888672).

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

4040884000800 is a wasteful number, since it uses less digits than its factorization.

4040884000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011654 (or 2011632 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4040884000800 in words is "four trillion, forty billion, eight hundred eighty-four million, eight hundred", and thus it is an aban number.