4013540300 has 144 divisors (see below), whose sum is σ = 10919301120. Its totient is φ = 1243968000.

The previous prime is 4013540291. The next prime is 4013540341. The reversal of 4013540300 is 30453104.

It is a super-2 number, since 2×4013540300² = 32217011479448180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469336 + ... + 1472064.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^4013540300 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 4013540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

4013540300 is an abundant number, since it is smaller than the sum of its proper divisors (6905760820).

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

4013540300 is a wasteful number, since it uses less digits than its factorization.

4013540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4013540300 is about 63352.5082376381. The cubic root of 4013540300 is about 1589.1901918986.

Adding to 4013540300 its reverse (30453104), we get a palindrome (4043993404).

The spelling of 4013540300 in words is "four billion, thirteen million, five hundred forty thousand, three hundred".