42508611104 has 48 divisors (see below), whose sum is σ = 86692576320. Its totient is φ = 20493446400.

The previous prime is 42508611083. The next prime is 42508611149. The reversal of 42508611104 is 40111680524.

It is a super-2 number, since 2×42508611104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 658679 + ... + 720329.

It is an arithmetic number, because the mean of its divisors is an integer number (1806095340).

Almost surely, 2^42508611104 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 42508611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43346288160).

42508611104 is an abundant number, since it is smaller than the sum of its proper divisors (44183965216).

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

42508611104 is a wasteful number, since it uses less digits than its factorization.

42508611104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62433 (or 62425 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 42508611104 in words is "forty-two billion, five hundred eight million, six hundred eleven thousand, one hundred four".