4075985266560 has 448 divisors, whose sum is σ = 15244782936480. Its totient is φ = 1039668867072.

The previous prime is 4075985266547. The next prime is 4075985266597. The reversal of 4075985266560 is 656625895704.

It is a happy number.

4075985266560 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 9 + 8 + 5 + 2 + 66 + 560 = 666.

It is a super-3 number, since 3×4075985266560³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10540962 + ... + 10920798.

Almost surely, 2^{4075985266560} is an apocalyptic number.

4075985266560 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 4075985266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622391468240).

4075985266560 is an abundant number, since it is smaller than the sum of its proper divisors (11168797669920).

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

4075985266560 is an equidigital number, since it uses as much as digits as its factorization.

4075985266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379897 (or 379870 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 4075985266560 in words is "four trillion, seventy-five billion, nine hundred eighty-five million, two hundred sixty-six thousand, five hundred sixty".