42665966956624 has 80 divisors (see below), whose sum is σ = 92122616632320. Its totient is φ = 18976138282880.

The previous prime is 42665966956621. The next prime is 42665966956651.

42665966956624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42665966956621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31793667 + ... + 33108445.

It is an arithmetic number, because the mean of its divisors is an integer number (1151532707904).

Almost surely, 2^{42665966956624} is an apocalyptic number.

42665966956624 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 42665966956624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061308316160).

42665966956624 is an abundant number, since it is smaller than the sum of its proper divisors (49456649675696).

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

42665966956624 is a wasteful number, since it uses less digits than its factorization.

42665966956624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318768 (or 1318762 counting only the distinct ones).

The product of its digits is 6046617600, while the sum is 76.

The spelling of 42665966956624 in words is "forty-two trillion, six hundred sixty-five billion, nine hundred sixty-six million, nine hundred fifty-six thousand, six hundred twenty-four".