4006411332 has 96 divisors (see below), whose sum is σ = 11686477824. Its totient is φ = 1037817600.

The previous prime is 4006411313. The next prime is 4006411349. The reversal of 4006411332 is 2331146004.

It is a super-2 number, since 2×4006411332² = 32102663522356028448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348232 + ... + 359552.

It is an arithmetic number, because the mean of its divisors is an integer number (121734144).

Almost surely, 2^4006411332 is an apocalyptic number.

4006411332 is a gapful number since it is divisible by the number (42) 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 4006411332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843238912).

4006411332 is an abundant number, since it is smaller than the sum of its proper divisors (7680066492).

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

4006411332 is a wasteful number, since it uses less digits than its factorization.

4006411332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4006411332 is about 63296.2189392068. The cubic root of 4006411332 is about 1588.2487121736.

Adding to 4006411332 its reverse (2331146004), we get a palindrome (6337557336).

The spelling of 4006411332 in words is "four billion, six million, four hundred eleven thousand, three hundred thirty-two".