4066264157760 has 2688 divisors, whose sum is σ = 18784819123200. Its totient is φ = 784796221440.

The previous prime is 4066264157749. The next prime is 4066264157807. The reversal of 4066264157760 is 677514626604.

4066264157760 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 2 + 6 + 4 + 1 + 577 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4066264157697 and 4066264157706.

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 383 ways as a sum of consecutive naturals, for example, 11519161744 + ... + 11519162096.

Almost surely, 2^{4066264157760} is an apocalyptic number.

4066264157760 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 4066264157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392409561600).

4066264157760 is an abundant number, since it is smaller than the sum of its proper divisors (14718554965440).

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

4066264157760 is a wasteful number, since it uses less digits than its factorization.

4066264157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4066264157760 in words is "four trillion, sixty-six billion, two hundred sixty-four million, one hundred fifty-seven thousand, seven hundred sixty".