440080480800 has 432 divisors, whose sum is σ = 1581702202080. Its totient is φ = 115105259520.

The previous prime is 440080480789. The next prime is 440080480823. The reversal of 440080480800 is 8084080044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251905527 + ... + 251907273.

It is an arithmetic number, because the mean of its divisors is an integer number (3661347690).

Almost surely, 2^440080480800 is an apocalyptic number.

440080480800 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 440080480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790851101040).

440080480800 is an abundant number, since it is smaller than the sum of its proper divisors (1141621721280).

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

440080480800 is a wasteful number, since it uses less digits than its factorization.

440080480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 440080480800 in words is "four hundred forty billion, eighty million, four hundred eighty thousand, eight hundred".