42966924263424 has 2304 divisors, whose sum is σ = 165087175680000. Its totient is φ = 11124486438912.

The previous prime is 42966924263413. The next prime is 42966924263441. The reversal of 42966924263424 is 42436242966924.

42966924263424 is a `hidden beast` number, since 4 + 2 + 9 + 66 + 92 + 4 + 2 + 63 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (214990848) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1868127141877 + ... + 1868127141899.

It is an arithmetic number, because the mean of its divisors is an integer number (71652420000).

Almost surely, 2^{42966924263424} 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 42966924263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82543587840000).

42966924263424 is an abundant number, since it is smaller than the sum of its proper divisors (122120251416576).

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

42966924263424 is an frugal number, since it uses more digits than its factorization.

42966924263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 63.

The spelling of 42966924263424 in words is "forty-two trillion, nine hundred sixty-six billion, nine hundred twenty-four million, two hundred sixty-three thousand, four hundred twenty-four".