42435780660 has 1152 divisors, whose sum is σ = 179324006400. Its totient is φ = 8230118400.

The previous prime is 42435780659. The next prime is 42435780733. The reversal of 42435780660 is 6608753424.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 281031585 + ... + 281031735.

It is an arithmetic number, because the mean of its divisors is an integer number (155663200).

Almost surely, 2^42435780660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435780660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89662003200).

42435780660 is an abundant number, since it is smaller than the sum of its proper divisors (136888225740).

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

42435780660 is a wasteful number, since it uses less digits than its factorization.

42435780660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42435780660 in words is "forty-two billion, four hundred thirty-five million, seven hundred eighty thousand, six hundred sixty".