444202134432431 has 16 divisors (see below), whose sum is σ = 455886648046368. Its totient is φ = 432558559065600.

The previous prime is 444202134432391. The next prime is 444202134432457. The reversal of 444202134432431 is 134234431202444.

It is a de Polignac number, because none of the positive numbers 2^k-444202134432431 is a prime.

It is a super-2 number, since 2×444202134432431² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444202134432631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76750355 + ... + 82334811.

It is an arithmetic number, because the mean of its divisors is an integer number (28492915502898).

Almost surely, 2^{444202134432431} is an apocalyptic number.

444202134432431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444202134432431 is a deficient number, since it is larger than the sum of its proper divisors (11684513613937).

444202134432431 is a wasteful number, since it uses less digits than its factorization.

444202134432431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588122.

The product of its (nonzero) digits is 884736, while the sum is 41.

Adding to 444202134432431 its reverse (134234431202444), we get a palindrome (578436565634875).

The spelling of 444202134432431 in words is "four hundred forty-four trillion, two hundred two billion, one hundred thirty-four million, four hundred thirty-two thousand, four hundred thirty-one".