4001322100 has 72 divisors (see below), whose sum is σ = 9250345440. Its totient is φ = 1497962880.

The previous prime is 4001322053. The next prime is 4001322133. The reversal of 4001322100 is 12231004.

It is a super-3 number, since 3×4001322100³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145014 + ... + 170386.

It is an arithmetic number, because the mean of its divisors is an integer number (128477020).

Almost surely, 2^4001322100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625172720).

4001322100 is an abundant number, since it is smaller than the sum of its proper divisors (5249023340).

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

4001322100 is a wasteful number, since it uses less digits than its factorization.

4001322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25489 (or 25482 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4001322100 is about 63256.0044580750. The cubic root of 4001322100 is about 1587.5759246139.

Adding to 4001322100 its reverse (12231004), we get a palindrome (4013553104).

It can be divided in two parts, 400 and 1322100, that added together give a square (1322500 = 1150²).

The spelling of 4001322100 in words is "four billion, one million, three hundred twenty-two thousand, one hundred".