42240630564 has 144 divisors (see below), whose sum is σ = 117348241920. Its totient is φ = 12705361920.

The previous prime is 42240630563. The next prime is 42240630581. The reversal of 42240630564 is 46503604224.

42240630564 is a `hidden beast` number, since 4 + 22 + 40 + 6 + 30 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42240630563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50953302 + ... + 50954130.

Almost surely, 2^42240630564 is an apocalyptic number.

42240630564 is a gapful number since it is divisible by the number (44) 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 42240630564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58674120960).

42240630564 is an abundant number, since it is smaller than the sum of its proper divisors (75107611356).

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

42240630564 is a wasteful number, since it uses less digits than its factorization.

42240630564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42240630564 in words is "forty-two billion, two hundred forty million, six hundred thirty thousand, five hundred sixty-four".