4013102040304 has 160 divisors (see below), whose sum is σ = 9263128550400. Its totient is φ = 1647871948800.

The previous prime is 4013102040251. The next prime is 4013102040319. The reversal of 4013102040304 is 4030402013104.

4013102040304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013102040304² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 538017727 + ... + 538025185.

It is an arithmetic number, because the mean of its divisors is an integer number (57894553440).

Almost surely, 2^{4013102040304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013102040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631564275200).

4013102040304 is an abundant number, since it is smaller than the sum of its proper divisors (5250026510096).

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

4013102040304 is a wasteful number, since it uses less digits than its factorization.

4013102040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8745 counting only the distinct ones).

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

Adding to 4013102040304 its reverse (4030402013104), we get a palindrome (8043504053408).

The spelling of 4013102040304 in words is "four trillion, thirteen billion, one hundred two million, forty thousand, three hundred four".