4605442640200 has 96 divisors (see below), whose sum is σ = 11340820915560. Its totient is φ = 1733308313600.

The previous prime is 4605442640173. The next prime is 4605442640209. The reversal of 4605442640200 is 20462445064.

It can be written as a sum of positive squares in 12 ways, for example, as 1143483758244 + 3461958881956 = 1069338^2 + 1860634^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4605442640200.

It is not an unprimeable number, because it can be changed into a prime (4605442640209) 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, 11571714 + ... + 11963086.

Almost surely, 2^{4605442640200} is an apocalyptic number.

4605442640200 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 4605442640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670410457780).

4605442640200 is an abundant number, since it is smaller than the sum of its proper divisors (6735378275360).

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

4605442640200 is a wasteful number, since it uses less digits than its factorization.

4605442640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394867 (or 394858 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 4605442640200 in words is "four trillion, six hundred five billion, four hundred forty-two million, six hundred forty thousand, two hundred".