1444100431302 has 192 divisors, whose sum is σ = 3458072217600. Its totient is φ = 433508993280.

The previous prime is 1444100431259. The next prime is 1444100431307. The reversal of 1444100431302 is 2031340014441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444100431307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173111027 + ... + 1173112257.

It is an arithmetic number, because the mean of its divisors is an integer number (18010792800).

Almost surely, 2^{1444100431302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444100431302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729036108800).

1444100431302 is an abundant number, since it is smaller than the sum of its proper divisors (2013971786298).

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

1444100431302 is a wasteful number, since it uses less digits than its factorization.

1444100431302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2080 counting only the distinct ones).

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

Adding to 1444100431302 its reverse (2031340014441), we get a palindrome (3475440445743).

The spelling of 1444100431302 in words is "one trillion, four hundred forty-four billion, one hundred million, four hundred thirty-one thousand, three hundred two".