441831252000 has 384 divisors, whose sum is σ = 1485993600000. Its totient is φ = 114696192000.

The previous prime is 441831251963. The next prime is 441831252011. The reversal of 441831252000 is 252138144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353747376 + ... + 353748624.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775000).

Almost surely, 2^441831252000 is an apocalyptic number.

441831252000 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 441831252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800000).

441831252000 is an abundant number, since it is smaller than the sum of its proper divisors (1044162348000).

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

441831252000 is a wasteful number, since it uses less digits than its factorization.

441831252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 441831252000 in words is "four hundred forty-one billion, eight hundred thirty-one million, two hundred fifty-two thousand".