4200638400 has 672 divisors, whose sum is σ = 18141696000. Its totient is φ = 925102080.

The previous prime is 4200638369. The next prime is 4200638413. The reversal of 4200638400 is 48360024.

4200638400 is a `hidden beast` number, since 4 + 20 + 0 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8769361 + ... + 8769839.

Almost surely, 2^4200638400 is an apocalyptic number.

4200638400 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 4200638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070848000).

4200638400 is an abundant number, since it is smaller than the sum of its proper divisors (13941057600).

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

4200638400 is a wasteful number, since it uses less digits than its factorization.

4200638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4200638400 is about 64812.3321598598. The cubic root of 4200638400 is about 1613.5103889344.

Adding to 4200638400 its reverse (48360024), we get a palindrome (4248998424).

The spelling of 4200638400 in words is "four billion, two hundred million, six hundred thirty-eight thousand, four hundred".