4213361880 has 512 divisors, whose sum is σ = 17705318400. Its totient is φ = 867428352.

The previous prime is 4213361857. The next prime is 4213361897. The reversal of 4213361880 is 881633124.

4213361880 is a `hidden beast` number, since 4 + 2 + 1 + 33 + 618 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4225542 + ... + 4226538.

It is an arithmetic number, because the mean of its divisors is an integer number (34580700).

Almost surely, 2^4213361880 is an apocalyptic number.

4213361880 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 4213361880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8852659200).

4213361880 is an abundant number, since it is smaller than the sum of its proper divisors (13491956520).

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

4213361880 is a wasteful number, since it uses less digits than its factorization.

4213361880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4213361880 is about 64910.4142645847. The cubic root of 4213361880 is about 1615.1378220778.

The spelling of 4213361880 in words is "four billion, two hundred thirteen million, three hundred sixty-one thousand, eight hundred eighty".