4010245816320 has 408 divisors, whose sum is σ = 14633972293200. Its totient is φ = 1013100576768.

The previous prime is 4010245816279. The next prime is 4010245816327. The reversal of 4010245816320 is 236185420104.

It is a happy number.

4010245816320 is a `hidden beast` number, since 4 + 0 + 10 + 2 + 4 + 5 + 8 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010245816327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55997496 + ... + 56069064.

It is an arithmetic number, because the mean of its divisors is an integer number (35867579150).

Almost surely, 2^{4010245816320} is an apocalyptic number.

4010245816320 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 4010245816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316986146600).

4010245816320 is an abundant number, since it is smaller than the sum of its proper divisors (10623726476880).

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

4010245816320 is an equidigital number, since it uses as much as digits as its factorization.

4010245816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71631 (or 71598 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4010245816320 in words is "four trillion, ten billion, two hundred forty-five million, eight hundred sixteen thousand, three hundred twenty".