4213070640 has 240 divisors, whose sum is σ = 14962970880. Its totient is φ = 1059402240.

The previous prime is 4213070639. The next prime is 4213070663. The reversal of 4213070640 is 460703124.

4213070640 is a `hidden beast` number, since 4 + 2 + 13 + 0 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3597255 + ... + 3598425.

It is an arithmetic number, because the mean of its divisors is an integer number (62345712).

Almost surely, 2^4213070640 is an apocalyptic number.

4213070640 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 4213070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481485440).

4213070640 is an abundant number, since it is smaller than the sum of its proper divisors (10749900240).

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

4213070640 is a wasteful number, since it uses less digits than its factorization.

4213070640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

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

The square root of 4213070640 is about 64908.1708261757. The cubic root of 4213070640 is about 1615.1006068570.

Adding to 4213070640 its reverse (460703124), we get a palindrome (4673773764).

The spelling of 4213070640 in words is "four billion, two hundred thirteen million, seventy thousand, six hundred forty".