42110323264 has 63 divisors (see below), whose sum is σ = 84681749737. Its totient is φ = 20776899584.

The previous prime is 42110323259. The next prime is 42110323301. The reversal of 42110323264 is 46232301124.

It is a happy number.

The square root of 42110323264 is 205208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 742017600 + 41368305664 = 27240^2 + 203392^2 .

It is a super-2 number, since 2×42110323264² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185507919 + ... + 185508145.

Almost surely, 2^42110323264 is an apocalyptic number.

42110323264 is the 205208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42110323264

42110323264 is an abundant number, since it is smaller than the sum of its proper divisors (42571426473).

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

42110323264 is an frugal number, since it uses more digits than its factorization.

42110323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 42110323264 its reverse (46232301124), we get a palindrome (88342624388).

The spelling of 42110323264 in words is "forty-two billion, one hundred ten million, three hundred twenty-three thousand, two hundred sixty-four".