444344202131130 has 192 divisors, whose sum is σ = 1390814928172800. Its totient is φ = 96150602465280.

The previous prime is 444344202131117. The next prime is 444344202131177. The reversal of 444344202131130 is 31131202443444.

444344202131130 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 4 + 420 + 213 + 1 + 13 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3692740 + ... + 30038720.

It is an arithmetic number, because the mean of its divisors is an integer number (7243827750900).

Almost surely, 2^{444344202131130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444344202131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695407464086400).

444344202131130 is an abundant number, since it is smaller than the sum of its proper divisors (946470726041670).

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

444344202131130 is a wasteful number, since it uses less digits than its factorization.

444344202131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26347429 (or 26347426 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444344202131130 its reverse (31131202443444), we get a palindrome (475475404574574).

The spelling of 444344202131130 in words is "four hundred forty-four trillion, three hundred forty-four billion, two hundred two million, one hundred thirty-one thousand, one hundred thirty".