440635360315220 has 144 divisors (see below), whose sum is σ = 1124352329925888. Its totient is φ = 144359490401280.

The previous prime is 440635360315159. The next prime is 440635360315277. The reversal of 440635360315220 is 22513063536044.

It is a happy number.

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, 12213260 + ... + 32100380.

It is an arithmetic number, because the mean of its divisors is an integer number (7808002291152).

Almost surely, 2^{440635360315220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440635360315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562176164962944).

440635360315220 is an abundant number, since it is smaller than the sum of its proper divisors (683716969610668).

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

440635360315220 is a wasteful number, since it uses less digits than its factorization.

440635360315220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19888150 (or 19888141 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 440635360315220 in words is "four hundred forty trillion, six hundred thirty-five billion, three hundred sixty million, three hundred fifteen thousand, two hundred twenty".