4213413072 has 160 divisors (see below), whose sum is σ = 13240581120. Its totient is φ = 1272240000.

The previous prime is 4213413053. The next prime is 4213413091. The reversal of 4213413072 is 2703143124.

It is a happy number.

4213413072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4213413053) and next prime (4213413091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476447 + ... + 1479297.

It is an arithmetic number, because the mean of its divisors is an integer number (82753632).

Almost surely, 2^4213413072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213413072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620290560).

4213413072 is an abundant number, since it is smaller than the sum of its proper divisors (9027168048).

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

4213413072 is a wasteful number, since it uses less digits than its factorization.

4213413072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4213413072 is about 64910.8085914819. The cubic root of 4213413072 is about 1615.1443633152.

Adding to 4213413072 its reverse (2703143124), we get a palindrome (6916556196).

The spelling of 4213413072 in words is "four billion, two hundred thirteen million, four hundred thirteen thousand, seventy-two".