42665931000 has 1152 divisors, whose sum is σ = 188375241600. Its totient is φ = 8515584000.

The previous prime is 42665930977. The next prime is 42665931089. The reversal of 42665931000 is 13956624.

It is a happy number.

42665931000 is a `hidden beast` number, since 4 + 2 + 66 + 593 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×42665931000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 221066904 + ... + 221067096.

It is an arithmetic number, because the mean of its divisors is an integer number (163520175).

Almost surely, 2^42665931000 is an apocalyptic number.

42665931000 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 42665931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187620800).

42665931000 is an abundant number, since it is smaller than the sum of its proper divisors (145709310600).

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

42665931000 is a wasteful number, since it uses less digits than its factorization.

42665931000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42665931000 in words is "forty-two billion, six hundred sixty-five million, nine hundred thirty-one thousand".