4220431420200 has 96 divisors (see below), whose sum is σ = 13084615834560. Its totient is φ = 1125338406400.

The previous prime is 4220431420181. The next prime is 4220431420211. The reversal of 4220431420200 is 20241340224.

It is a super-2 number, since 2×4220431420200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5896132 + ... + 6573068.

It is an arithmetic number, because the mean of its divisors is an integer number (136298081610).

Almost surely, 2^{4220431420200} is an apocalyptic number.

4220431420200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220431420200 is an abundant number, since it is smaller than the sum of its proper divisors (8864184414360).

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

4220431420200 is a wasteful number, since it uses less digits than its factorization.

4220431420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687347 (or 687338 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4220431420200 its reverse (20241340224), we get a palindrome (4240672760424).

The spelling of 4220431420200 in words is "four trillion, two hundred twenty billion, four hundred thirty-one million, four hundred twenty thousand, two hundred".