4013530738560 has 768 divisors, whose sum is σ = 15969639628800. Its totient is φ = 909851443200.

The previous prime is 4013530738549. The next prime is 4013530738601. The reversal of 4013530738560 is 658370353104.

4013530738560 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 53 + 0 + 7 + 38 + 560 = 666.

4013530738560 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 2×4013530738560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3486993985 + ... + 3486995135.

It is an arithmetic number, because the mean of its divisors is an integer number (20793801600).

Almost surely, 2^{4013530738560} is an apocalyptic number.

4013530738560 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 4013530738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984819814400).

4013530738560 is an abundant number, since it is smaller than the sum of its proper divisors (11956108890240).

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

4013530738560 is a wasteful number, since it uses less digits than its factorization.

4013530738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 4013530738560 in words is "four trillion, thirteen billion, five hundred thirty million, seven hundred thirty-eight thousand, five hundred sixty".