42431103616 has 128 divisors (see below), whose sum is σ = 99544982400. Its totient is φ = 17811763200.

The previous prime is 42431103613. The next prime is 42431103619. The reversal of 42431103616 is 61630113424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42431103613) and next prime (42431103619).

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

It is not an unprimeable number, because it can be changed into a prime (42431103613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916546 + ... + 961726.

It is an arithmetic number, because the mean of its divisors is an integer number (777695175).

Almost surely, 2^42431103616 is an apocalyptic number.

42431103616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49772491200).

42431103616 is an abundant number, since it is smaller than the sum of its proper divisors (57113878784).

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

42431103616 is a wasteful number, since it uses less digits than its factorization.

42431103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45258 (or 45246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 42431103616 in words is "forty-two billion, four hundred thirty-one million, one hundred three thousand, six hundred sixteen".