4010165040000 has 320 divisors, whose sum is σ = 15212281011840. Its totient is φ = 916608768000.

The previous prime is 4010165039953. The next prime is 4010165040001. The reversal of 4010165040000 is 405610104.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010165040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 486499 + ... + 2873501.

It is an arithmetic number, because the mean of its divisors is an integer number (47538378162).

Almost surely, 2^{4010165040000} is an apocalyptic number.

4010165040000 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 4010165040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606140505920).

4010165040000 is an abundant number, since it is smaller than the sum of its proper divisors (11202115971840).

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

4010165040000 is an equidigital number, since it uses as much as digits as its factorization.

4010165040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387047 (or 2387020 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 4010165040000 in words is "four trillion, ten billion, one hundred sixty-five million, forty thousand".