4127022535680 has 528 divisors, whose sum is σ = 16138017417600. Its totient is φ = 965987205120.

The previous prime is 4127022535679. The next prime is 4127022535711. The reversal of 4127022535680 is 865352207214.

4127022535680 is a `hidden beast` number, since 4 + 1 + 2 + 70 + 225 + 356 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14559141 + ... + 14839899.

Almost surely, 2^{4127022535680} is an apocalyptic number.

4127022535680 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 4127022535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069008708800).

4127022535680 is an abundant number, since it is smaller than the sum of its proper divisors (12010994881920).

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

4127022535680 is a wasteful number, since it uses less digits than its factorization.

4127022535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280830 (or 280809 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4127022535680 in words is "four trillion, one hundred twenty-seven billion, twenty-two million, five hundred thirty-five thousand, six hundred eighty".