441467589138912 has 432 divisors, whose sum is σ = 1466320424587200. Its totient is φ = 125621757757440.

The previous prime is 441467589138883. The next prime is 441467589138941. The reversal of 441467589138912 is 219831985764144.

It is a happy number.

441467589138912 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 6 + 7 + 589 + 1 + 38 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (441467589138883) and next prime (441467589138941).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12075464889 + ... + 12075501447.

It is an arithmetic number, because the mean of its divisors is an integer number (3394260242100).

Almost surely, 2^{441467589138912} is an apocalyptic number.

441467589138912 is a gapful number since it is divisible by the number (42) 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 441467589138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733160212293600).

441467589138912 is an abundant number, since it is smaller than the sum of its proper divisors (1024852835448288).

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

441467589138912 is a wasteful number, since it uses less digits than its factorization.

441467589138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40039 (or 40021 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 441467589138912 in words is "four hundred forty-one trillion, four hundred sixty-seven billion, five hundred eighty-nine million, one hundred thirty-eight thousand, nine hundred twelve".