431123042400 has 144 divisors (see below), whose sum is σ = 1404104756544. Its totient is φ = 114900666880.

The previous prime is 431123042387. The next prime is 431123042401. The reversal of 431123042400 is 4240321134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431123042401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4238539 + ... + 4339061.

It is an arithmetic number, because the mean of its divisors is an integer number (9750727476).

Almost surely, 2^431123042400 is an apocalyptic number.

431123042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431123042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702052378272).

431123042400 is an abundant number, since it is smaller than the sum of its proper divisors (972981714144).

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

431123042400 is a wasteful number, since it uses less digits than its factorization.

431123042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102333 (or 102320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431123042400 its reverse (4240321134), we get a palindrome (435363363534).

The spelling of 431123042400 in words is "four hundred thirty-one billion, one hundred twenty-three million, forty-two thousand, four hundred".