441432211320 has 512 divisors, whose sum is σ = 1620027648000. Its totient is φ = 106420469760.

The previous prime is 441432211277. The next prime is 441432211349. The reversal of 441432211320 is 23112234144.

441432211320 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 322 + 11 + 320 = 666.

It is a super-2 number, since 2×441432211320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272320110 + ... + 272321730.

It is an arithmetic number, because the mean of its divisors is an integer number (3164116500).

Almost surely, 2^441432211320 is an apocalyptic number.

441432211320 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 441432211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810013824000).

441432211320 is an abundant number, since it is smaller than the sum of its proper divisors (1178595436680).

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

441432211320 is a wasteful number, since it uses less digits than its factorization.

441432211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 441432211320 its reverse (23112234144), we get a palindrome (464544445464).

The spelling of 441432211320 in words is "four hundred forty-one billion, four hundred thirty-two million, two hundred eleven thousand, three hundred twenty".