4013422560 has 768 divisors, whose sum is σ = 17540167680. Its totient is φ = 836075520.

The previous prime is 4013422547. The next prime is 4013422571. The reversal of 4013422560 is 652243104.

4013422560 is a `hidden beast` number, since 401 + 3 + 4 + 2 + 256 + 0 = 666.

It is a super-2 number, since 2×4013422560² = 32215121290233907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19020855 + ... + 19021065.

It is an arithmetic number, because the mean of its divisors is an integer number (22838760).

Almost surely, 2^4013422560 is an apocalyptic number.

4013422560 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 4013422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770083840).

4013422560 is an abundant number, since it is smaller than the sum of its proper divisors (13526745120).

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

4013422560 is a wasteful number, since it uses less digits than its factorization.

4013422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4013422560 is about 63351.5789858469. The cubic root of 4013422560 is about 1589.1746517463.

Adding to 4013422560 its reverse (652243104), we get a palindrome (4665665664).

The spelling of 4013422560 in words is "four billion, thirteen million, four hundred twenty-two thousand, five hundred sixty".