431126029824 has 160 divisors (see below), whose sum is σ = 1324895844096. Its totient is φ = 122027335680.

The previous prime is 431126029811. The next prime is 431126029837. The reversal of 431126029824 is 428920621134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431126029811) and next prime (431126029837).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963094 + ... + 1337834.

Almost surely, 2^431126029824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431126029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662447922048).

431126029824 is an abundant number, since it is smaller than the sum of its proper divisors (893769814272).

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

431126029824 is a wasteful number, since it uses less digits than its factorization.

431126029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374876 (or 374860 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 431126029824 in words is "four hundred thirty-one billion, one hundred twenty-six million, twenty-nine thousand, eight hundred twenty-four".