42666393600 has 480 divisors, whose sum is σ = 158309229540. Its totient is φ = 11360010240.

The previous prime is 42666393589. The next prime is 42666393611. The reversal of 42666393600 is 639366624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42666393589) and next prime (42666393611).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42666393600² (a number of 22 digits) contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 66354879 + ... + 66355521.

Almost surely, 2^42666393600 is an apocalyptic number.

42666393600 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 42666393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79154614770).

42666393600 is an abundant number, since it is smaller than the sum of its proper divisors (115642835940).

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

42666393600 is an frugal number, since it uses more digits than its factorization.

42666393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 42666393600 in words is "forty-two billion, six hundred sixty-six million, three hundred ninety-three thousand, six hundred".