42961245184 has 176 divisors, whose sum is σ = 102302182080. Its totient is φ = 17774346240.

The previous prime is 42961245161. The next prime is 42961245227. The reversal of 42961245184 is 48154216924.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10687527 + ... + 10691545.

Almost surely, 2^42961245184 is an apocalyptic number.

42961245184 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 42961245184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51151091040).

42961245184 is an abundant number, since it is smaller than the sum of its proper divisors (59340936896).

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

42961245184 is a wasteful number, since it uses less digits than its factorization.

42961245184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4118 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 42961245184 in words is "forty-two billion, nine hundred sixty-one million, two hundred forty-five thousand, one hundred eighty-four".