4213115440 has 80 divisors (see below), whose sum is σ = 10526728032. Its totient is φ = 1562406912.

The previous prime is 4213115429. The next prime is 4213115449. The reversal of 4213115440 is 445113124.

4213115440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4213115449) 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, 68002 + ... + 114238.

Almost surely, 2^4213115440 is an apocalyptic number.

4213115440 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 4213115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263364016).

4213115440 is an abundant number, since it is smaller than the sum of its proper divisors (6313612592).

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

4213115440 is a wasteful number, since it uses less digits than its factorization.

4213115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46334 (or 46328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4213115440 is about 64908.5159281893. The cubic root of 4213115440 is about 1615.1063316009.

Adding to 4213115440 its reverse (445113124), we get a palindrome (4658228564).

The spelling of 4213115440 in words is "four billion, two hundred thirteen million, one hundred fifteen thousand, four hundred forty".