4134240400 has 120 divisors (see below), whose sum is σ = 10486124480. Its totient is φ = 1562042880.

The previous prime is 4134240391. The next prime is 4134240431. The reversal of 4134240400 is 40424314.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700642 + ... + 3701758.

Almost surely, 2^4134240400 is an apocalyptic number.

4134240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243062240).

4134240400 is an abundant number, since it is smaller than the sum of its proper divisors (6351884080).

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

4134240400 is a wasteful number, since it uses less digits than its factorization.

4134240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4134240400 is about 64298.0590686842. The cubic root of 4134240400 is about 1604.9638032358.

Adding to 4134240400 its reverse (40424314), we get a palindrome (4174664714).

The spelling of 4134240400 in words is "four billion, one hundred thirty-four million, two hundred forty thousand, four hundred".