4001022320 has 80 divisors (see below), whose sum is σ = 9397969920. Its totient is φ = 1584057600.

The previous prime is 4001022307. The next prime is 4001022353. The reversal of 4001022320 is 232201004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4001022295 and 4001022304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3880205 + ... + 3881235.

It is an arithmetic number, because the mean of its divisors is an integer number (117474624).

Almost surely, 2^4001022320 is an apocalyptic number.

4001022320 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 4001022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698984960).

4001022320 is an abundant number, since it is smaller than the sum of its proper divisors (5396947600).

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

4001022320 is a wasteful number, since it uses less digits than its factorization.

4001022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4001022320 is about 63253.6348362685. The cubic root of 4001022320 is about 1587.5362764356.

Adding to 4001022320 its reverse (232201004), we get a palindrome (4233223324).

The spelling of 4001022320 in words is "four billion, one million, twenty-two thousand, three hundred twenty".