42601010624 has 56 divisors (see below), whose sum is σ = 86209132128. Its totient is φ = 20882534400.

The previous prime is 42601010623. The next prime is 42601010653.

42601010624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42601010624² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42601010593 and 42601010602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42601010623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752924 + ... + 807524.

It is an arithmetic number, because the mean of its divisors is an integer number (1539448788).

Almost surely, 2^42601010624 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 42601010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43104566064).

42601010624 is an abundant number, since it is smaller than the sum of its proper divisors (43608121504).

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

42601010624 is a wasteful number, since it uses less digits than its factorization.

42601010624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54853 (or 54843 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 426010 and 10624, that added together give a palindrome (436634).

The spelling of 42601010624 in words is "forty-two billion, six hundred one million, ten thousand, six hundred twenty-four".