42665978880 has 1232 divisors, whose sum is σ = 185576500224. Its totient is φ = 9196830720.

The previous prime is 42665978867. The next prime is 42665978893. The reversal of 42665978880 is 8887956624.

42665978880 is a `hidden beast` number, since 426 + 6 + 59 + 7 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42665978867) and next prime (42665978893).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 600929245 + ... + 600929315.

Almost surely, 2^42665978880 is an apocalyptic number.

42665978880 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 42665978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92788250112).

42665978880 is an abundant number, since it is smaller than the sum of its proper divisors (142910521344).

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

42665978880 is an equidigital number, since it uses as much as digits as its factorization.

42665978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 42665978880 in words is "forty-two billion, six hundred sixty-five million, nine hundred seventy-eight thousand, eight hundred eighty".