4200401200 has 60 divisors (see below), whose sum is σ = 10115839648. Its totient is φ = 1676102400.

The previous prime is 4200401173. The next prime is 4200401213. The reversal of 4200401200 is 21040024.

It is a super-2 number, since 2×4200401200² = 35286740481922880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155929 + ... + 180871.

Almost surely, 2^4200401200 is an apocalyptic number.

4200401200 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 4200401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057919824).

4200401200 is an abundant number, since it is smaller than the sum of its proper divisors (5915438448).

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

4200401200 is a wasteful number, since it uses less digits than its factorization.

4200401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25382 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4200401200 is about 64810.5022353631. The cubic root of 4200401200 is about 1613.4800180057.

Adding to 4200401200 its reverse (21040024), we get a palindrome (4221441224).

The spelling of 4200401200 in words is "four billion, two hundred million, four hundred one thousand, two hundred".