4013056320 has 448 divisors, whose sum is σ = 15927238656. Its totient is φ = 833495040.

The previous prime is 4013056241. The next prime is 4013056357. The reversal of 4013056320 is 236503104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4013056320² = 32209242054983884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6202237 + ... + 6202883.

It is an arithmetic number, because the mean of its divisors is an integer number (35551872).

Almost surely, 2^4013056320 is an apocalyptic number.

4013056320 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 4013056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963619328).

4013056320 is an abundant number, since it is smaller than the sum of its proper divisors (11914182336).

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

4013056320 is a wasteful number, since it uses less digits than its factorization.

4013056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4013056320 is about 63348.6883842120. The cubic root of 4013056320 is about 1589.1263108751.

Adding to 4013056320 its reverse (236503104), we get a palindrome (4249559424).

The spelling of 4013056320 in words is "four billion, thirteen million, fifty-six thousand, three hundred twenty".