4013030400 has 132 divisors (see below), whose sum is σ = 13263528312. Its totient is φ = 1070120960.

The previous prime is 4013030389. The next prime is 4013030447. The reversal of 4013030400 is 40303104.

4013030400 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 2×4013030400² = 32208825982648320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4013030400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50674 + ... + 102926.

Almost surely, 2^4013030400 is an apocalyptic number.

4013030400 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 4013030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631764156).

4013030400 is an abundant number, since it is smaller than the sum of its proper divisors (9250497912).

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

4013030400 is a wasteful number, since it uses less digits than its factorization.

4013030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52286 (or 52263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4013030400 is about 63348.4838019033. The cubic root of 4013030400 is about 1589.1228895224.

Adding to 4013030400 its reverse (40303104), we get a palindrome (4053333504).

The spelling of 4013030400 in words is "four billion, thirteen million, thirty thousand, four hundred".