440155040 has 96 divisors (see below), whose sum is σ = 1158630480. Its totient is φ = 156893184.

The previous prime is 440155039. The next prime is 440155087. The reversal of 440155040 is 40551044.

It can be written as a sum of positive squares in 8 ways, for example, as 83247376 + 356907664 = 9124^2 + 18892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440154997 and 440155015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56672 + ... + 63968.

Almost surely, 2^440155040 is an apocalyptic number.

440155040 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 440155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579315240).

440155040 is an abundant number, since it is smaller than the sum of its proper divisors (718475440).

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

440155040 is a wasteful number, since it uses less digits than its factorization.

440155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 440155040 is about 20979.8722589057. The cubic root of 440155040 is about 760.6798164721.

The spelling of 440155040 in words is "four hundred forty million, one hundred fifty-five thousand, forty".