4013230400 has 42 divisors (see below), whose sum is σ = 9875058990. Its totient is φ = 1605291520.

The previous prime is 4013230399. The next prime is 4013230411. The reversal of 4013230400 is 40323104.

It can be written as a sum of positive squares in 3 ways, for example, as 207821056 + 3805409344 = 14416^2 + 61688^2 .

It is a super-2 number, since 2×4013230400² = 32212036486968320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1252535 + ... + 1255734.

Almost surely, 2^4013230400 is an apocalyptic number.

4013230400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013230400 is an abundant number, since it is smaller than the sum of its proper divisors (5861828590).

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

4013230400 is a wasteful number, since it uses less digits than its factorization.

4013230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508291 (or 2508276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4013230400 is about 63350.0623519819. The cubic root of 4013230400 is about 1589.1492884668.

Adding to 4013230400 its reverse (40323104), we get a palindrome (4053553504).

The spelling of 4013230400 in words is "four billion, thirteen million, two hundred thirty thousand, four hundred".