100431414040 has 32 divisors (see below), whose sum is σ = 231225817680. Its totient is φ = 39238319232.

The previous prime is 100431414001. The next prime is 100431414047. The reversal of 100431414040 is 40414134001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431414047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29193459 + ... + 29196898.

Almost surely, 2^100431414040 is an apocalyptic number.

100431414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431414040 is an abundant number, since it is smaller than the sum of its proper divisors (130794403640).

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

100431414040 is a wasteful number, since it uses less digits than its factorization.

100431414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58390411 (or 58390407 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100431414040 its reverse (40414134001), we get a palindrome (140845548041).

The spelling of 100431414040 in words is "one hundred billion, four hundred thirty-one million, four hundred fourteen thousand, forty".