42611011624 has 64 divisors (see below), whose sum is σ = 82515801600. Its totient is φ = 20619150336.

The previous prime is 42611011613. The next prime is 42611011633.

42611011624 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42611011592 and 42611011601.

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, 29734812 + ... + 29736244.

It is an arithmetic number, because the mean of its divisors is an integer number (1289309400).

Almost surely, 2^42611011624 is an apocalyptic number.

It is an amenable number.

42611011624 is a deficient number, since it is larger than the sum of its proper divisors (39904789976).

42611011624 is a wasteful number, since it uses less digits than its factorization.

42611011624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 426110 and 11624, that added together give a palindrome (437734).

The spelling of 42611011624 in words is "forty-two billion, six hundred eleven million, eleven thousand, six hundred twenty-four".