4201416312 has 64 divisors (see below), whose sum is σ = 11163031200. Its totient is φ = 1313157120.

The previous prime is 4201416301. The next prime is 4201416313. The reversal of 4201416312 is 2136141024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201416313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90612 + ... + 128892.

Almost surely, 2^4201416312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201416312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581515600).

4201416312 is an abundant number, since it is smaller than the sum of its proper divisors (6961614888).

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

4201416312 is a wasteful number, since it uses less digits than its factorization.

4201416312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38576 (or 38572 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4201416312 is about 64818.3331473434. Note that the first 3 decimals coincide. The cubic root of 4201416312 is about 1613.6099842420.

Adding to 4201416312 its reverse (2136141024), we get a palindrome (6337557336).

The spelling of 4201416312 in words is "four billion, two hundred one million, four hundred sixteen thousand, three hundred twelve".