4002210225200 has 240 divisors, whose sum is σ = 10746329083776. Its totient is φ = 1419787622400.

The previous prime is 4002210225199. The next prime is 4002210225239. The reversal of 4002210225200 is 25220122004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162132059 + ... + 162156741.

Almost surely, 2^{4002210225200} is an apocalyptic number.

4002210225200 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 4002210225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373164541888).

4002210225200 is an abundant number, since it is smaller than the sum of its proper divisors (6744118858576).

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

4002210225200 is a wasteful number, since it uses less digits than its factorization.

4002210225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25612 (or 25601 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 4002210225200 its reverse (25220122004), we get a palindrome (4027430347204).

The spelling of 4002210225200 in words is "four trillion, two billion, two hundred ten million, two hundred twenty-five thousand, two hundred".