42606244260624 has 160 divisors (see below), whose sum is σ = 123368875315200. Its totient is φ = 12556787443200.

The previous prime is 42606244260599. The next prime is 42606244260649.

42606244260624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42606244260599) and next prime (42606244260649).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46412319 + ... + 47321409.

It is an arithmetic number, because the mean of its divisors is an integer number (771055470720).

Almost surely, 2^{42606244260624} is an apocalyptic number.

42606244260624 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 42606244260624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61684437657600).

42606244260624 is an abundant number, since it is smaller than the sum of its proper divisors (80762631054576).

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

42606244260624 is a wasteful number, since it uses less digits than its factorization.

42606244260624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911549 (or 911543 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 42606244260624 in words is "forty-two trillion, six hundred six billion, two hundred forty-four million, two hundred sixty thousand, six hundred twenty-four".