4013324120 has 96 divisors (see below), whose sum is σ = 9925085520. Its totient is φ = 1459560960.

The previous prime is 4013324101. The next prime is 4013324131. The reversal of 4013324120 is 214233104.

It is a super-2 number, since 2×4013324120² = 32213540984347548800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4013324092 and 4013324101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448490 + ... + 457350.

Almost surely, 2^4013324120 is an apocalyptic number.

4013324120 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 4013324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962542760).

4013324120 is an abundant number, since it is smaller than the sum of its proper divisors (5911761400).

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

4013324120 is a wasteful number, since it uses less digits than its factorization.

4013324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8965 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4013324120 is about 63350.8020470144. The cubic root of 4013324120 is about 1589.1616587103.

Adding to 4013324120 its reverse (214233104), we get a palindrome (4227557224).

The spelling of 4013324120 in words is "four billion, thirteen million, three hundred twenty-four thousand, one hundred twenty".