16431303271040 has 128 divisors (see below), whose sum is σ = 44894202480000. Its totient is φ = 5633397116928.

The previous prime is 16431303271037. The next prime is 16431303271043. The reversal of 16431303271040 is 4017230313461.

It is an interprime number because it is at equal distance from previous prime (16431303271037) and next prime (16431303271043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (16431303271043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208276082 + ... + 208354958.

It is an arithmetic number, because the mean of its divisors is an integer number (350735956875).

Almost surely, 2^{16431303271040} is an apocalyptic number.

16431303271040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16431303271040 is an abundant number, since it is smaller than the sum of its proper divisors (28462899208960).

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

16431303271040 is an equidigital number, since it uses as much as digits as its factorization.

16431303271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125402 (or 125390 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 16431303271040 in words is "sixteen trillion, four hundred thirty-one billion, three hundred three million, two hundred seventy-one thousand, forty".