4242220400 has 120 divisors (see below), whose sum is σ = 11141203584. Its totient is φ = 1539475200.

The previous prime is 4242220399. The next prime is 4242220453. The reversal of 4242220400 is 40222424.

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

It is a congruent number.

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, 3990269 + ... + 3991331.

Almost surely, 2^4242220400 is an apocalyptic number.

4242220400 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 4242220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570601792).

4242220400 is an abundant number, since it is smaller than the sum of its proper divisors (6898983184).

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

4242220400 is a wasteful number, since it uses less digits than its factorization.

4242220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4242220400 is about 65132.3299137993. The cubic root of 4242220400 is about 1618.8169485785.

Adding to 4242220400 its reverse (40222424), we get a palindrome (4282442824).

The spelling of 4242220400 in words is "four billion, two hundred forty-two million, two hundred twenty thousand, four hundred".