4189993920 has 420 divisors, whose sum is σ = 17343196200. Its totient is φ = 957422592.

The previous prime is 4189993903. The next prime is 4189993937. The reversal of 4189993920 is 293999814.

It is an interprime number because it is at equal distance from previous prime (4189993903) and next prime (4189993937).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 1268431 + ... + 1271729.

Almost surely, 2^4189993920 is an apocalyptic number.

4189993920 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 4189993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671598100).

4189993920 is an abundant number, since it is smaller than the sum of its proper divisors (13153202280).

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

4189993920 is a wasteful number, since it uses less digits than its factorization.

4189993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 4189993920 is about 64730.1623665506. The cubic root of 4189993920 is about 1612.1463497018.

The spelling of 4189993920 in words is "four billion, one hundred eighty-nine million, nine hundred ninety-three thousand, nine hundred twenty".