42101634144 has 24 divisors (see below), whose sum is σ = 110516789880. Its totient is φ = 14033878016.

The previous prime is 42101634137. The next prime is 42101634151. The reversal of 42101634144 is 44143610124.

It is an interprime number because it is at equal distance from previous prime (42101634137) and next prime (42101634151).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×42101634144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219279249 + ... + 219279440.

It is an arithmetic number, because the mean of its divisors is an integer number (4604866245).

Almost surely, 2^42101634144 is an apocalyptic number.

It is an amenable number.

42101634144 is an abundant number, since it is smaller than the sum of its proper divisors (68415155736).

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

42101634144 is a wasteful number, since it uses less digits than its factorization.

42101634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438558702 (or 438558694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42101634144 in words is "forty-two billion, one hundred one million, six hundred thirty-four thousand, one hundred forty-four".