431401121100 has 144 divisors (see below), whose sum is σ = 1387106532000. Its totient is φ = 115021071360.

The previous prime is 431401121093. The next prime is 431401121113. The reversal of 431401121100 is 1121104134.

431401121100 is a `hidden beast` number, since 43 + 1 + 401 + 121 + 100 = 666.

It is a super-2 number, since 2×431401121100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 24423472 + ... + 24441128.

It is an arithmetic number, because the mean of its divisors is an integer number (9632684250).

Almost surely, 2^431401121100 is an apocalyptic number.

It is an amenable number.

431401121100 is an abundant number, since it is smaller than the sum of its proper divisors (955705410900).

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

431401121100 is a wasteful number, since it uses less digits than its factorization.

431401121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26729 (or 26716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 431401121100 its reverse (1121104134), we get a palindrome (432522225234).

The spelling of 431401121100 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty-one thousand, one hundred".