4001073440 has 288 divisors, whose sum is σ = 12173145264. Its totient is φ = 1230888960.

The previous prime is 4001073413. The next prime is 4001073463. The reversal of 4001073440 is 443701004.

4001073440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2168206096 + 1832867344 = 46564^2 + 42812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3770510 + ... + 3771570.

Almost surely, 2^4001073440 is an apocalyptic number.

4001073440 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 4001073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086572632).

4001073440 is an abundant number, since it is smaller than the sum of its proper divisors (8172071824).

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

4001073440 is a wasteful number, since it uses less digits than its factorization.

4001073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4001073440 is about 63254.0389224277. The cubic root of 4001073440 is about 1587.5430375833.

Adding to 4001073440 its reverse (443701004), we get a palindrome (4444774444).

The spelling of 4001073440 in words is "four billion, one million, seventy-three thousand, four hundred forty".