4041421200 has 180 divisors, whose sum is σ = 14404379028. Its totient is φ = 1048550400.

The previous prime is 4041421199. The next prime is 4041421207. The reversal of 4041421200 is 21241404.

4041421200 is a `hidden beast` number, since 4 + 0 + 41 + 421 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39087504 + 4002333696 = 6252^2 + 63264^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (4041421207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118030 + ... + 148370.

Almost surely, 2^4041421200 is an apocalyptic number.

4041421200 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 4041421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202189514).

4041421200 is an abundant number, since it is smaller than the sum of its proper divisors (10362957828).

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

4041421200 is a wasteful number, since it uses less digits than its factorization.

4041421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30402 (or 30388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4041421200 is about 63572.1731577583. The cubic root of 4041421200 is about 1592.8615846718.

Adding to 4041421200 its reverse (21241404), we get a palindrome (4062662604).

The spelling of 4041421200 in words is "four billion, forty-one million, four hundred twenty-one thousand, two hundred".