441132420344000 has 336 divisors, whose sum is σ = 1386355628140704. Its totient is φ = 137495817984000.

The previous prime is 441132420343987. The next prime is 441132420344017. The reversal of 441132420344000 is 443024231144.

It is a super-4 number, since 4×441132420344000⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46839719 + ... + 55463718.

Almost surely, 2^{441132420344000} is an apocalyptic number.

441132420344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441132420344000 is an abundant number, since it is smaller than the sum of its proper divisors (945223207796704).

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

441132420344000 is a wasteful number, since it uses less digits than its factorization.

441132420344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102303489 (or 102303462 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 441132420344000 its reverse (443024231144), we get a palindrome (441575444575144).

The spelling of 441132420344000 in words is "four hundred forty-one trillion, one hundred thirty-two billion, four hundred twenty million, three hundred forty-four thousand".