441056225360 has 80 divisors (see below), whose sum is σ = 1052165680896. Its totient is φ = 171849613824.

The previous prime is 441056225333. The next prime is 441056225371. The reversal of 441056225360 is 63522650144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×441056225360² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087802 + ... + 1437158.

Almost surely, 2^441056225360 is an apocalyptic number.

441056225360 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 441056225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526082840448).

441056225360 is an abundant number, since it is smaller than the sum of its proper divisors (611109455536).

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

441056225360 is a wasteful number, since it uses less digits than its factorization.

441056225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349780 (or 349774 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 441056225360 in words is "four hundred forty-one billion, fifty-six million, two hundred twenty-five thousand, three hundred sixty".