431218785824040 has 128 divisors (see below), whose sum is σ = 1295357825986560. Its totient is φ = 114840447638784.

The previous prime is 431218785824017. The next prime is 431218785824063. The reversal of 431218785824040 is 40428587812134.

It is an interprime number because it is at equal distance from previous prime (431218785824017) and next prime (431218785824063).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427302497 + ... + 2427480143.

It is an arithmetic number, because the mean of its divisors is an integer number (10119983015520).

Almost surely, 2^{431218785824040} is an apocalyptic number.

431218785824040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431218785824040 is an abundant number, since it is smaller than the sum of its proper divisors (864139040162520).

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

431218785824040 is a wasteful number, since it uses less digits than its factorization.

431218785824040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204151 (or 204147 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 431218785824040 in words is "four hundred thirty-one trillion, two hundred eighteen billion, seven hundred eighty-five million, eight hundred twenty-four thousand, forty".