441452943360 has 2304 divisors, whose sum is σ = 1983306124800. Its totient is φ = 89181388800.

The previous prime is 441452943329. The next prime is 441452943377. The reversal of 441452943360 is 63349254144.

441452943360 is a `hidden beast` number, since 44 + 14 + 529 + 43 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 10266347499 + ... + 10266347541.

It is an arithmetic number, because the mean of its divisors is an integer number (860809950).

Almost surely, 2^441452943360 is an apocalyptic number.

441452943360 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 441452943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991653062400).

441452943360 is an abundant number, since it is smaller than the sum of its proper divisors (1541853181440).

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

441452943360 is a wasteful number, since it uses less digits than its factorization.

441452943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 441452943360 in words is "four hundred forty-one billion, four hundred fifty-two million, nine hundred forty-three thousand, three hundred sixty".