42351166000 has 320 divisors, whose sum is σ = 120934509696. Its totient is φ = 14141952000.

The previous prime is 42351165973. The next prime is 42351166027. The reversal of 42351166000 is 66115324.

It is an interprime number because it is at equal distance from previous prime (42351165973) and next prime (42351166027).

It is a self number, because there is not a number n which added to its sum of digits gives 42351166000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106677802 + ... + 106678198.

Almost surely, 2^42351166000 is an apocalyptic number.

42351166000 is a gapful number since it is divisible by the number (40) 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 42351166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60467254848).

42351166000 is an abundant number, since it is smaller than the sum of its proper divisors (78583343696).

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

42351166000 is a wasteful number, since it uses less digits than its factorization.

42351166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 42351166000 in words is "forty-two billion, three hundred fifty-one million, one hundred sixty-six thousand".