4221286400 has 144 divisors (see below), whose sum is σ = 10830947400. Its totient is φ = 1629716480.

The previous prime is 4221286387. The next prime is 4221286403. The reversal of 4221286400 is 46821224.

4221286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221286403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483379 + ... + 1486221.

Almost surely, 2^4221286400 is an apocalyptic number.

4221286400 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 4221286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415473700).

4221286400 is an abundant number, since it is smaller than the sum of its proper divisors (6609661000).

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

4221286400 is a wasteful number, since it uses less digits than its factorization.

4221286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4221286400 is about 64971.4275662772. The cubic root of 4221286400 is about 1616.1497753543.

The spelling of 4221286400 in words is "four billion, two hundred twenty-one million, two hundred eighty-six thousand, four hundred".