42614041624 has 256 divisors, whose sum is σ = 109921075200. Its totient is φ = 14985907200.

The previous prime is 42614041609. The next prime is 42614041633.

42614041624 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42614041624.

It is a congruent number.

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, 24308332 + ... + 24310084.

It is an arithmetic number, because the mean of its divisors is an integer number (429379200).

Almost surely, 2^42614041624 is an apocalyptic number.

42614041624 is a gapful number since it is divisible by the number (44) 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 42614041624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54960537600).

42614041624 is an abundant number, since it is smaller than the sum of its proper divisors (67307033576).

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

42614041624 is a wasteful number, since it uses less digits than its factorization.

42614041624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 426140 and 41624, that added together give a palindrome (467764).

The spelling of 42614041624 in words is "forty-two billion, six hundred fourteen million, forty-one thousand, six hundred twenty-four".