431144141412432 has 80 divisors (see below), whose sum is σ = 1302504117178880. Its totient is φ = 120319295273856.

The previous prime is 431144141412409. The next prime is 431144141412451. The reversal of 431144141412432 is 234214141441134.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14920533082 + ... + 14920561977.

It is an arithmetic number, because the mean of its divisors is an integer number (16281301464736).

Almost surely, 2^{431144141412432} is an apocalyptic number.

431144141412432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

431144141412432 is an abundant number, since it is smaller than the sum of its proper divisors (871359975766448).

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

431144141412432 is a wasteful number, since it uses less digits than its factorization.

431144141412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29841095120 (or 29841095114 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

Adding to 431144141412432 its reverse (234214141441134), we get a palindrome (665358282853566).

The spelling of 431144141412432 in words is "four hundred thirty-one trillion, one hundred forty-four billion, one hundred forty-one million, four hundred twelve thousand, four hundred thirty-two".