4073821920 has 576 divisors, whose sum is σ = 16982784000. Its totient is φ = 868589568.

The previous prime is 4073821861. The next prime is 4073821931. The reversal of 4073821920 is 291283704.

4073821920 is a `hidden beast` number, since 407 + 38 + 219 + 2 + 0 = 666.

4073821920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17045161 + ... + 17045399.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^4073821920 is an apocalyptic number.

4073821920 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 4073821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392000).

4073821920 is an abundant number, since it is smaller than the sum of its proper divisors (12908962080).

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

4073821920 is a wasteful number, since it uses less digits than its factorization.

4073821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4073821920 is about 63826.4985723015. The cubic root of 4073821920 is about 1597.1070014189.

The spelling of 4073821920 in words is "four billion, seventy-three million, eight hundred twenty-one thousand, nine hundred twenty".