42966755766924 has 96 divisors (see below), whose sum is σ = 110700005826816. Its totient is φ = 12861920993280.

The previous prime is 42966755766917. The next prime is 42966755766947.

42966755766924 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42966755766924² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42966755766924.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99890364 + ... + 100319580.

It is an arithmetic number, because the mean of its divisors is an integer number (1153125060696).

Almost surely, 2^{42966755766924} is an apocalyptic number.

42966755766924 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 42966755766924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55350002913408).

42966755766924 is an abundant number, since it is smaller than the sum of its proper divisors (67733250059892).

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

42966755766924 is a wasteful number, since it uses less digits than its factorization.

42966755766924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438455 (or 438453 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 78.

The spelling of 42966755766924 in words is "forty-two trillion, nine hundred sixty-six billion, seven hundred fifty-five million, seven hundred sixty-six thousand, nine hundred twenty-four".