4042430100 has 108 divisors (see below), whose sum is σ = 12720803004. Its totient is φ = 1073725440.

The previous prime is 4042430087. The next prime is 4042430111. The reversal of 4042430100 is 10342404.

4042430100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14243076 + 4028187024 = 3774^2 + 63468^2 .

It is a super-2 number, since 2×4042430100² = 32682482226772020000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222562 + ... + 240038.

It is an arithmetic number, because the mean of its divisors is an integer number (117785213).

Almost surely, 2^4042430100 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 4042430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360401502).

4042430100 is an abundant number, since it is smaller than the sum of its proper divisors (8678372904).

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

4042430100 is a wasteful number, since it uses less digits than its factorization.

4042430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17754 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4042430100 is about 63580.1077381912. The cubic root of 4042430100 is about 1592.9941209146.

Adding to 4042430100 its reverse (10342404), we get a palindrome (4052772504).

The spelling of 4042430100 in words is "four billion, forty-two million, four hundred thirty thousand, one hundred".