4011322240 has 64 divisors (see below), whose sum is σ = 9617580000. Its totient is φ = 1599842304.

The previous prime is 4011322223. The next prime is 4011322243. The reversal of 4011322240 is 422231104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4011322240² = 32181412226237235200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011322243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214381 + ... + 232339.

Almost surely, 2^4011322240 is an apocalyptic number.

4011322240 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 4011322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808790000).

4011322240 is an abundant number, since it is smaller than the sum of its proper divisors (5606257760).

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

4011322240 is a wasteful number, since it uses less digits than its factorization.

4011322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18327 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4011322240 is about 63335.0001184179. Note that the first 3 decimals coincide. The cubic root of 4011322240 is about 1588.8973856748.

Adding to 4011322240 its reverse (422231104), we get a palindrome (4433553344).

The spelling of 4011322240 in words is "four billion, eleven million, three hundred twenty-two thousand, two hundred forty".