440375040 has 432 divisors, whose sum is σ = 1795842048. Its totient is φ = 97542144.

The previous prime is 440375017. The next prime is 440375059. The reversal of 440375040 is 40573044.

It is a junction number, because it is equal to n+sod(n) for n = 440374995 and 440375013.

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, 3467457 + ... + 3467583.

Almost surely, 2^440375040 is an apocalyptic number.

440375040 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 440375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897921024).

440375040 is an abundant number, since it is smaller than the sum of its proper divisors (1355467008).

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

440375040 is a wasteful number, since it uses less digits than its factorization.

440375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 440375040 is about 20985.1147244898. The cubic root of 440375040 is about 760.8065306753.

The spelling of 440375040 in words is "four hundred forty million, three hundred seventy-five thousand, forty".