4020031344 has 320 divisors, whose sum is σ = 13113446400. Its totient is φ = 1056706560.

The previous prime is 4020031339. The next prime is 4020031349. The reversal of 4020031344 is 4431300204.

It is an interprime number because it is at equal distance from previous prime (4020031339) and next prime (4020031349).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4020031344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020031349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14833929 + ... + 14834199.

It is an arithmetic number, because the mean of its divisors is an integer number (40979520).

Almost surely, 2^4020031344 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 4020031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556723200).

4020031344 is an abundant number, since it is smaller than the sum of its proper divisors (9093415056).

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

4020031344 is a wasteful number, since it uses less digits than its factorization.

4020031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4020031344 is about 63403.7171150083. The cubic root of 4020031344 is about 1590.0464556657.

Adding to 4020031344 its reverse (4431300204), we get a palindrome (8451331548).

The spelling of 4020031344 in words is "four billion, twenty million, thirty-one thousand, three hundred forty-four".