4010314040320 has 264 divisors, whose sum is σ = 11374172285400. Its totient is φ = 1352419246080.

The previous prime is 4010314040267. The next prime is 4010314040371. The reversal of 4010314040320 is 230404130104.

It can be written as a sum of positive squares in 4 ways, for example, as 401286774784 + 3609027265536 = 633472^2 + 1899744^2 .

It is a super-3 number, since 3×4010314040320³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4010314040291 and 4010314040300.

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, 15172656 + ... + 15434704.

Almost surely, 2^{4010314040320} is an apocalyptic number.

4010314040320 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 4010314040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687086142700).

4010314040320 is an abundant number, since it is smaller than the sum of its proper divisors (7363858245080).

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

4010314040320 is a wasteful number, since it uses less digits than its factorization.

4010314040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262149 (or 262124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4010314040320 its reverse (230404130104), we get a palindrome (4240718170424).

The spelling of 4010314040320 in words is "four trillion, ten billion, three hundred fourteen million, forty thousand, three hundred twenty".