42264420600 has 96 divisors (see below), whose sum is σ = 131159819520. Its totient is φ = 11258459520.

The previous prime is 42264420589. The next prime is 42264420619. The reversal of 42264420600 is 602446224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531009 + ... + 605391.

It is an arithmetic number, because the mean of its divisors is an integer number (1366248120).

Almost surely, 2^42264420600 is an apocalyptic number.

42264420600 is a gapful number since it is divisible by the number (40) 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 42264420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65579909760).

42264420600 is an abundant number, since it is smaller than the sum of its proper divisors (88895398920).

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

42264420600 is a wasteful number, since it uses less digits than its factorization.

42264420600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75349 (or 75340 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42264420600 its reverse (602446224), we get a palindrome (42866866824).

The spelling of 42264420600 in words is "forty-two billion, two hundred sixty-four million, four hundred twenty thousand, six hundred".