4135442400 has 108 divisors (see below), whose sum is σ = 14582629152. Its totient is φ = 1102782720.

The previous prime is 4135442393. The next prime is 4135442401. The reversal of 4135442400 is 42445314.

It is a happy number.

4135442400 is a `hidden beast` number, since 413 + 5 + 4 + 4 + 240 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135442401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 279984 + ... + 294383.

It is an arithmetic number, because the mean of its divisors is an integer number (135024344).

Almost surely, 2^4135442400 is an apocalyptic number.

4135442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135442400 is an abundant number, since it is smaller than the sum of its proper divisors (10447186752).

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

4135442400 is a wasteful number, since it uses less digits than its factorization.

4135442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574393 (or 574377 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4135442400 is about 64307.4054833500. The cubic root of 4135442400 is about 1605.1193319723.

Adding to 4135442400 its reverse (42445314), we get a palindrome (4177887714).

The spelling of 4135442400 in words is "four billion, one hundred thirty-five million, four hundred forty-two thousand, four hundred".