441332040324042 has 384 divisors, whose sum is σ = 1180723946688000. Its totient is φ = 116343036426240.

The previous prime is 441332040324013. The next prime is 441332040324083. The reversal of 441332040324042 is 240423040233144.

441332040324042 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 3 + 2 + 0 + 403 + 240 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 441332040323988 and 441332040324006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25675251184 + ... + 25675268372.

It is an arithmetic number, because the mean of its divisors is an integer number (3074801944500).

Almost surely, 2^{441332040324042} is an apocalyptic number.

441332040324042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 441332040324042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590361973344000).

441332040324042 is an abundant number, since it is smaller than the sum of its proper divisors (739391906363958).

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

441332040324042 is a wasteful number, since it uses less digits than its factorization.

441332040324042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19006 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 441332040324042 its reverse (240423040233144), we get a palindrome (681755080557186).

The spelling of 441332040324042 in words is "four hundred forty-one trillion, three hundred thirty-two billion, forty million, three hundred twenty-four thousand, forty-two".