4010023340320 has 192 divisors, whose sum is σ = 9653648449536. Its totient is φ = 1573870510080.

The previous prime is 4010023340299. The next prime is 4010023340347. The reversal of 4010023340320 is 230433200104.

It is a happy number.

It is a super-4 number, since 4×4010023340320⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4010023340291 and 4010023340300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492378017 + ... + 1492380703.

It is an arithmetic number, because the mean of its divisors is an integer number (50279419008).

Almost surely, 2^{4010023340320} is an apocalyptic number.

4010023340320 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 4010023340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826824224768).

4010023340320 is an abundant number, since it is smaller than the sum of its proper divisors (5643625109216).

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

4010023340320 is a wasteful number, since it uses less digits than its factorization.

4010023340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 4010023340320 its reverse (230433200104), we get a palindrome (4240456540424).

The spelling of 4010023340320 in words is "four trillion, ten billion, twenty-three million, three hundred forty thousand, three hundred twenty".