4085722200960 has 256 divisors, whose sum is σ = 14474979936000. Its totient is φ = 1089171007488.

The previous prime is 4085722200949. The next prime is 4085722200983. The reversal of 4085722200960 is 690022275804.

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 31 ways as a sum of consecutive naturals, for example, 55310931 + ... + 55384749.

It is an arithmetic number, because the mean of its divisors is an integer number (56542890375).

Almost surely, 2^{4085722200960} is an apocalyptic number.

4085722200960 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 4085722200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237489968000).

4085722200960 is an abundant number, since it is smaller than the sum of its proper divisors (10389257735040).

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

4085722200960 is a wasteful number, since it uses less digits than its factorization.

4085722200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77050 (or 77032 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4085722200960 in words is "four trillion, eighty-five billion, seven hundred twenty-two million, two hundred thousand, nine hundred sixty".