4013004000 has 192 divisors, whose sum is σ = 13247986752. Its totient is φ = 1061888000.

The previous prime is 4013003999. The next prime is 4013004019. The reversal of 4013004000 is 4003104.

4013004000 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 2×4013004000² = 32208402208032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1642780 + ... + 1645220.

It is an arithmetic number, because the mean of its divisors is an integer number (68999931).

Almost surely, 2^4013004000 is an apocalyptic number.

4013004000 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 4013004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623993376).

4013004000 is an abundant number, since it is smaller than the sum of its proper divisors (9234982752).

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

4013004000 is a wasteful number, since it uses less digits than its factorization.

4013004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4013004000 is about 63348.2754303541. The cubic root of 4013004000 is about 1589.1194047963.

Adding to 4013004000 its reverse (4003104), we get a palindrome (4017007104).

The spelling of 4013004000 in words is "four billion, thirteen million, four thousand".