4014242100 has 216 divisors, whose sum is σ = 14449387680. Its totient is φ = 921888000.

The previous prime is 4014242093. The next prime is 4014242107. The reversal of 4014242100 is 12424104.

It is an interprime number because it is at equal distance from previous prime (4014242093) and next prime (4014242107).

It is a super-3 number, since 3×4014242100³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (4014242107) 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 71 ways as a sum of consecutive naturals, for example, 177430 + ... + 198770.

Almost surely, 2^4014242100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224693840).

4014242100 is an abundant number, since it is smaller than the sum of its proper divisors (10435145580).

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

4014242100 is a wasteful number, since it uses less digits than its factorization.

4014242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21391 (or 21381 counting only the distinct ones).

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

The square root of 4014242100 is about 63358.0468448957. The cubic root of 4014242100 is about 1589.2828140886.

Adding to 4014242100 its reverse (12424104), we get a palindrome (4026666204).

The spelling of 4014242100 in words is "four billion, fourteen million, two hundred forty-two thousand, one hundred".