4660642042600 has 96 divisors (see below), whose sum is σ = 10862427807000. Its totient is φ = 1859714519040.

The previous prime is 4660642042583. The next prime is 4660642042603. The reversal of 4660642042600 is 62402460664.

It can be written as a sum of positive squares in 12 ways, for example, as 658697806404 + 4001944236196 = 811602^2 + 2000486^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4660642042603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137998516 + ... + 138032284.

Almost surely, 2^{4660642042600} is an apocalyptic number.

4660642042600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4660642042600 is an abundant number, since it is smaller than the sum of its proper divisors (6201785764400).

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

4660642042600 is a wasteful number, since it uses less digits than its factorization.

4660642042600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35447 (or 35438 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 4660642042600 in words is "four trillion, six hundred sixty billion, six hundred forty-two million, forty-two thousand, six hundred".