440408004080 has 40 divisors (see below), whose sum is σ = 1117034848944. Its totient is φ = 160148364800.

The previous prime is 440408004031. The next prime is 440408004083. The reversal of 440408004080 is 80400804044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×440408004080³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440408004083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250230941 + ... + 250232700.

Almost surely, 2^440408004080 is an apocalyptic number.

440408004080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440408004080 is an abundant number, since it is smaller than the sum of its proper divisors (676626844864).

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

440408004080 is a wasteful number, since it uses less digits than its factorization.

440408004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500463665 (or 500463659 counting only the distinct ones).

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

Subtracting from 440408004080 its reverse (80400804044), we obtain a square (360007200036 = 600006²).

The spelling of 440408004080 in words is "four hundred forty billion, four hundred eight million, four thousand, eighty".