431402240100 has 144 divisors (see below), whose sum is σ = 1349319388032. Its totient is φ = 105787299840.

The previous prime is 431402240063. The next prime is 431402240117. The reversal of 431402240100 is 1042204134.

It is a super-2 number, since 2×431402240100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815404 + ... + 1235996.

It is an arithmetic number, because the mean of its divisors is an integer number (9370273528).

Almost surely, 2^431402240100 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 431402240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674659694016).

431402240100 is an abundant number, since it is smaller than the sum of its proper divisors (917917147932).

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

431402240100 is a wasteful number, since it uses less digits than its factorization.

431402240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420886 (or 420879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 431402240100 its reverse (1042204134), we get a palindrome (432444444234).

The spelling of 431402240100 in words is "four hundred thirty-one billion, four hundred two million, two hundred forty thousand, one hundred".