42436749264 has 320 divisors, whose sum is σ = 136993898496. Its totient is φ = 11022262272.

The previous prime is 42436749259. The next prime is 42436749269. The reversal of 42436749264 is 46294763424.

It is an interprime number because it is at equal distance from previous prime (42436749259) and next prime (42436749269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42436749269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125924904 + ... + 125925240.

Almost surely, 2^42436749264 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 42436749264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68496949248).

42436749264 is an abundant number, since it is smaller than the sum of its proper divisors (94557149232).

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

42436749264 is a wasteful number, since it uses less digits than its factorization.

42436749264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 51.

The spelling of 42436749264 in words is "forty-two billion, four hundred thirty-six million, seven hundred forty-nine thousand, two hundred sixty-four".