4158392220 has 144 divisors (see below), whose sum is σ = 12808653312. Its totient is φ = 1091905920.

The previous prime is 4158392197. The next prime is 4158392233. The reversal of 4158392220 is 222938514.

It is a happy number.

4158392220 is a `hidden beast` number, since 41 + 5 + 8 + 392 + 220 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3911409 + ... + 3912471.

Almost surely, 2^4158392220 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 4158392220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404326656).

4158392220 is an abundant number, since it is smaller than the sum of its proper divisors (8650261092).

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

4158392220 is a wasteful number, since it uses less digits than its factorization.

4158392220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4158392220 is about 64485.5969965387. The cubic root of 4158392220 is about 1608.0830830688.

The spelling of 4158392220 in words is "four billion, one hundred fifty-eight million, three hundred ninety-two thousand, two hundred twenty".