441651603360 has 1152 divisors, whose sum is σ = 1694056218624. Its totient is φ = 95808061440.

The previous prime is 441651603331. The next prime is 441651603443. The reversal of 441651603360 is 63306156144.

It is a super-2 number, since 2×441651603360² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3477571617 + ... + 3477571743.

It is an arithmetic number, because the mean of its divisors is an integer number (1470534912).

Almost surely, 2^441651603360 is an apocalyptic number.

441651603360 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 441651603360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847028109312).

441651603360 is an abundant number, since it is smaller than the sum of its proper divisors (1252404615264).

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

441651603360 is a wasteful number, since it uses less digits than its factorization.

441651603360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 441651603360 in words is "four hundred forty-one billion, six hundred fifty-one million, six hundred three thousand, three hundred sixty".