42217046144 has 128 divisors (see below), whose sum is σ = 103914074880. Its totient is φ = 16636538880.

The previous prime is 42217046141. The next prime is 42217046147. The reversal of 42217046144 is 44164071224.

It is an interprime number because it is at equal distance from previous prime (42217046141) and next prime (42217046147).

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 (42217046141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3056534 + ... + 3070314.

It is an arithmetic number, because the mean of its divisors is an integer number (811828710).

Almost surely, 2^42217046144 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 42217046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51957037440).

42217046144 is an abundant number, since it is smaller than the sum of its proper divisors (61697028736).

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

42217046144 is a wasteful number, since it uses less digits than its factorization.

42217046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14078 (or 14066 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 42217046144 in words is "forty-two billion, two hundred seventeen million, forty-six thousand, one hundred forty-four".