4040408800 has 36 divisors (see below), whose sum is σ = 9863649936. Its totient is φ = 1616163200.

The previous prime is 4040408681. The next prime is 4040408807. The reversal of 4040408800 is 88040404.

It is a happy number.

It is a super-2 number, since 2×4040408800² = 32649806542234880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040408807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2524456 + ... + 2526055.

It is an arithmetic number, because the mean of its divisors is an integer number (273990276).

Almost surely, 2^4040408800 is an apocalyptic number.

4040408800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040408800 is an abundant number, since it is smaller than the sum of its proper divisors (5823241136).

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

4040408800 is a wasteful number, since it uses less digits than its factorization.

4040408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050531 (or 5050518 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4040408800 is about 63564.2100556595. The cubic root of 4040408800 is about 1592.7285664699.

The spelling of 4040408800 in words is "four billion, forty million, four hundred eight thousand, eight hundred".