42147985516 has 144 divisors (see below), whose sum is σ = 95442493440. Its totient is φ = 15927425280.

The previous prime is 42147985493. The next prime is 42147985571. The reversal of 42147985516 is 61558974124.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11586850 + ... + 11590486.

Almost surely, 2^42147985516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42147985516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47721246720).

42147985516 is an abundant number, since it is smaller than the sum of its proper divisors (53294507924).

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

42147985516 is a wasteful number, since it uses less digits than its factorization.

42147985516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3769 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The spelling of 42147985516 in words is "forty-two billion, one hundred forty-seven million, nine hundred eighty-five thousand, five hundred sixteen".