4081297534560 has 144 divisors (see below), whose sum is σ = 14155746630480. Its totient is φ = 1070504248320.

The previous prime is 4081297534519. The next prime is 4081297534607. The reversal of 4081297534560 is 654357921804.

It is a happy number.

4081297534560 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 2 + 9 + 75 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×4081297534560⁴ (a number of 52 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4081297534497 and 4081297534506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23143590 + ... + 23319269.

It is an arithmetic number, because the mean of its divisors is an integer number (98303796045).

It is a 1-persistent number, because it is pandigital, but 2⋅4081297534560 = 8162595069120 is not.

Almost surely, 2^{4081297534560} is an apocalyptic number.

4081297534560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4081297534560 is an abundant number, since it is smaller than the sum of its proper divisors (10074449095920).

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

4081297534560 is a wasteful number, since it uses less digits than its factorization.

4081297534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46462941 (or 46462930 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4081297534560 in words is "four trillion, eighty-one billion, two hundred ninety-seven million, five hundred thirty-four thousand, five hundred sixty".