4001073930 has 288 divisors, whose sum is σ = 12987584064. Its totient is φ = 849042432.

The previous prime is 4001073887. The next prime is 4001073959. The reversal of 4001073930 is 393701004.

It is a junction number, because it is equal to n+sod(n) for n = 4001073894 and 4001073903.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6222189 + ... + 6222831.

It is an arithmetic number, because the mean of its divisors is an integer number (45095778).

Almost surely, 2^4001073930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001073930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493792032).

4001073930 is an abundant number, since it is smaller than the sum of its proper divisors (8986510134).

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

4001073930 is a wasteful number, since it uses less digits than its factorization.

4001073930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 4001073930 is about 63254.0427956980. The cubic root of 4001073930 is about 1587.5431023906.

Adding to 4001073930 its reverse (393701004), we get a palindrome (4394774934).

The spelling of 4001073930 in words is "four billion, one million, seventy-three thousand, nine hundred thirty".