440442661800 has 192 divisors, whose sum is σ = 1442196264960. Its totient is φ = 111019104000.

The previous prime is 440442661723. The next prime is 440442661849. The reversal of 440442661800 is 8166244044.

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, 524455 + ... + 1075145.

It is an arithmetic number, because the mean of its divisors is an integer number (7511438880).

Almost surely, 2^440442661800 is an apocalyptic number.

440442661800 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 440442661800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721098132480).

440442661800 is an abundant number, since it is smaller than the sum of its proper divisors (1001753603160).

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

440442661800 is a wasteful number, since it uses less digits than its factorization.

440442661800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550784 (or 550775 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 440442661800 in words is "four hundred forty billion, four hundred forty-two million, six hundred sixty-one thousand, eight hundred".