4021241400 has 432 divisors, whose sum is σ = 15275715000. Its totient is φ = 946598400.

The previous prime is 4021241327. The next prime is 4021241401. The reversal of 4021241400 is 41421204.

4021241400 is a `hidden beast` number, since 4 + 0 + 21 + 241 + 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 (4021241401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8058351 + ... + 8058849.

Almost surely, 2^4021241400 is an apocalyptic number.

4021241400 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 4021241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637857500).

4021241400 is an abundant number, since it is smaller than the sum of its proper divisors (11254473600).

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

4021241400 is a wasteful number, since it uses less digits than its factorization.

4021241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

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

The square root of 4021241400 is about 63413.2588659501. The cubic root of 4021241400 is about 1590.2059778246.

Adding to 4021241400 its reverse (41421204), we get a palindrome (4062662604).

The spelling of 4021241400 in words is "four billion, twenty-one million, two hundred forty-one thousand, four hundred".