4200959556360 has 256 divisors, whose sum is σ = 16125824563200. Its totient is φ = 952889184000.

The previous prime is 4200959556337. The next prime is 4200959556361. The reversal of 4200959556360 is 636559590024.

It is a happy number.

4200959556360 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 9 + 59 + 556 + 36 + 0 = 666.

4200959556360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4200959556360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4200959556297 and 4200959556306.

It is not an unprimeable number, because it can be changed into a prime (4200959556361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130566 + ... + 3111285.

It is an arithmetic number, because the mean of its divisors is an integer number (62991502200).

Almost surely, 2^{4200959556360} is an apocalyptic number.

4200959556360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200959556360 is an abundant number, since it is smaller than the sum of its proper divisors (11924865006840).

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

4200959556360 is a wasteful number, since it uses less digits than its factorization.

4200959556360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242009 (or 4241999 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 4200959556360 in words is "four trillion, two hundred billion, nine hundred fifty-nine million, five hundred fifty-six thousand, three hundred sixty".