4020301440 has 192 divisors, whose sum is σ = 14699585160. Its totient is φ = 1008992256.

The previous prime is 4020301429. The next prime is 4020301499. The reversal of 4020301440 is 441030204.

4020301440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2918592576 + 1101708864 = 54024^2 + 33192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 77392 + ... + 118448.

Almost surely, 2^4020301440 is an apocalyptic number.

4020301440 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 4020301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349792580).

4020301440 is an abundant number, since it is smaller than the sum of its proper divisors (10679283720).

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

4020301440 is a wasteful number, since it uses less digits than its factorization.

4020301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41099 (or 41084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4020301440 is about 63405.8470489907. The cubic root of 4020301440 is about 1590.0820653026.

Adding to 4020301440 its reverse (441030204), we get a palindrome (4461331644).

The spelling of 4020301440 in words is "four billion, twenty million, three hundred one thousand, four hundred forty".