4142300240 has 80 divisors (see below), whose sum is σ = 10981828368. Its totient is φ = 1439490048.

The previous prime is 4142300213. The next prime is 4142300249. The reversal of 4142300240 is 420032414.

It can be written as a sum of positive squares in 8 ways, for example, as 356605456 + 3785694784 = 18884^2 + 61528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142300249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99467 + ... + 134826.

Almost surely, 2^4142300240 is an apocalyptic number.

4142300240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142300240 is an abundant number, since it is smaller than the sum of its proper divisors (6839528128).

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

4142300240 is a wasteful number, since it uses less digits than its factorization.

4142300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234336 (or 234330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4142300240 is about 64360.7041602250. The cubic root of 4142300240 is about 1606.0061030761.

Adding to 4142300240 its reverse (420032414), we get a palindrome (4562332654).

The spelling of 4142300240 in words is "four billion, one hundred forty-two million, three hundred thousand, two hundred forty".