4193017920 has 448 divisors, whose sum is σ = 18208995840. Its totient is φ = 884514816.

The previous prime is 4193017883. The next prime is 4193017937. The reversal of 4193017920 is 297103914.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4193017920² = 35162798554882252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783574 + ... + 788906.

It is an arithmetic number, because the mean of its divisors is an integer number (40645080).

Almost surely, 2^4193017920 is an apocalyptic number.

4193017920 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 4193017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104497920).

4193017920 is an abundant number, since it is smaller than the sum of its proper divisors (14015977920).

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

4193017920 is a wasteful number, since it uses less digits than its factorization.

4193017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4193017920 is about 64753.5166612594. The cubic root of 4193017920 is about 1612.5340955473.

The spelling of 4193017920 in words is "four billion, one hundred ninety-three million, seventeen thousand, nine hundred twenty".