4200242400 has 108 divisors (see below), whose sum is σ = 14811130152. Its totient is φ = 1120062720.

The previous prime is 4200242399. The next prime is 4200242407. The reversal of 4200242400 is 42420024.

4200242400 is a `hidden beast` number, since 4 + 20 + 0 + 242 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200242407) 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 17 ways as a sum of consecutive naturals, for example, 284484 + ... + 298883.

It is an arithmetic number, because the mean of its divisors is an integer number (137140094).

Almost surely, 2^4200242400 is an apocalyptic number.

4200242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200242400 is an abundant number, since it is smaller than the sum of its proper divisors (10610887752).

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

4200242400 is a wasteful number, since it uses less digits than its factorization.

4200242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583393 (or 583377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4200242400 is about 64809.2771136972. The cubic root of 4200242400 is about 1613.4596847214.

Adding to 4200242400 its reverse (42420024), we get a palindrome (4242662424).

The spelling of 4200242400 in words is "four billion, two hundred million, two hundred forty-two thousand, four hundred".