4217172576480 has 144 divisors (see below), whose sum is σ = 14410015938864. Its totient is φ = 1123101296640.

The previous prime is 4217172576451. The next prime is 4217172576497. The reversal of 4217172576480 is 846752717124.

4217172576480 is a `hidden beast` number, since 4 + 2 + 1 + 71 + 7 + 25 + 76 + 480 = 666.

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

It is a super-2 number, since 2×4217172576480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828334 + ... + 3020013.

It is an arithmetic number, because the mean of its divisors is an integer number (100069555131).

Almost surely, 2^{4217172576480} is an apocalyptic number.

4217172576480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4217172576480 is an abundant number, since it is smaller than the sum of its proper divisors (10192843362384).

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

4217172576480 is a wasteful number, since it uses less digits than its factorization.

4217172576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849129 (or 3849118 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 4217172576480 in words is "four trillion, two hundred seventeen billion, one hundred seventy-two million, five hundred seventy-six thousand, four hundred eighty".