4005193920 has 672 divisors, whose sum is σ = 16648224768. Its totient is φ = 794271744.

The previous prime is 4005193847. The next prime is 4005193921. The reversal of 4005193920 is 293915004.

4005193920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005193921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31536897 + ... + 31537023.

It is an arithmetic number, because the mean of its divisors is an integer number (24774144).

Almost surely, 2^4005193920 is an apocalyptic number.

4005193920 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 4005193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324112384).

4005193920 is an abundant number, since it is smaller than the sum of its proper divisors (12643030848).

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

4005193920 is a wasteful number, since it uses less digits than its factorization.

4005193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4005193920 is about 63286.6014255782. The cubic root of 4005193920 is about 1588.0878243065.

The spelling of 4005193920 in words is "four billion, five million, one hundred ninety-three thousand, nine hundred twenty".