441431245540032 has 224 divisors, whose sum is σ = 1350351616978944. Its totient is φ = 125779723468800.

The previous prime is 441431245539989. The next prime is 441431245540037. The reversal of 441431245540032 is 230045542134144.

It is a super-2 number, since 2×441431245540032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441431245540037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32300193 + ... + 43888095.

Almost surely, 2^{441431245540032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441431245540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675175808489472).

441431245540032 is an abundant number, since it is smaller than the sum of its proper divisors (908920371438912).

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

441431245540032 is a wasteful number, since it uses less digits than its factorization.

441431245540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11589007 (or 11588997 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 441431245540032 its reverse (230045542134144), we get a palindrome (671476787674176).

The spelling of 441431245540032 in words is "four hundred forty-one trillion, four hundred thirty-one billion, two hundred forty-five million, five hundred forty thousand, thirty-two".