42953867264 has 276 divisors, whose sum is σ = 114756143760. Its totient is φ = 15854469120.

The previous prime is 42953867263. The next prime is 42953867269. The reversal of 42953867264 is 46276835924.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (42953867263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2260729847 + ... + 2260729865.

Almost surely, 2^42953867264 is an apocalyptic number.

42953867264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42953867264 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42953867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57378071880).

42953867264 is an abundant number, since it is smaller than the sum of its proper divisors (71802276496).

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

42953867264 is an frugal number, since it uses more digits than its factorization.

42953867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The spelling of 42953867264 in words is "forty-two billion, nine hundred fifty-three million, eight hundred sixty-seven thousand, two hundred sixty-four".