4040040408800 has 144 divisors (see below), whose sum is σ = 10760414695632. Its totient is φ = 1468961894400.

The previous prime is 4040040408739. The next prime is 4040040408881. The reversal of 4040040408800 is 88040400404.

It is a happy number.

It is a super-2 number, since 2×4040040408800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138471014 + ... + 138500186.

It is an arithmetic number, because the mean of its divisors is an integer number (74725102053).

Almost surely, 2^{4040040408800} is an apocalyptic number.

4040040408800 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 4040040408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380207347816).

4040040408800 is an abundant number, since it is smaller than the sum of its proper divisors (6720374286832).

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

4040040408800 is a wasteful number, since it uses less digits than its factorization.

4040040408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44941 (or 44928 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 4040040408800 in words is "four trillion, forty billion, forty million, four hundred eight thousand, eight hundred".