4022540100 has 216 divisors, whose sum is σ = 13076012040. Its totient is φ = 1033482240.

The previous prime is 4022540077. The next prime is 4022540113. The reversal of 4022540100 is 10452204.

4022540100 is a `hidden beast` number, since 4 + 0 + 22 + 540 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1470875904 + 2551664196 = 38352^2 + 50514^2 .

It is a super-2 number, since 2×4022540100² = 32361657712216020000, which contains 22 as substring.

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

It is an unprimeable number.

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, 3762366 + ... + 3763434.

Almost surely, 2^4022540100 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 4022540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538006020).

4022540100 is an abundant number, since it is smaller than the sum of its proper divisors (9053471940).

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

4022540100 is a wasteful number, since it uses less digits than its factorization.

4022540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4022540100 is about 63423.4980113838. The cubic root of 4022540100 is about 1590.3771503567.

Adding to 4022540100 its reverse (10452204), we get a palindrome (4032992304).

The spelling of 4022540100 in words is "four billion, twenty-two million, five hundred forty thousand, one hundred".