4217984151264 has 576 divisors, whose sum is σ = 14094623047680. Its totient is φ = 1219703546880.

The previous prime is 4217984151257. The next prime is 4217984151289. The reversal of 4217984151264 is 4621514897124.

4217984151264 is a `hidden beast` number, since 4 + 2 + 17 + 98 + 415 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4217984151264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514949409 + ... + 514957599.

It is an arithmetic number, because the mean of its divisors is an integer number (24469831680).

Almost surely, 2^{4217984151264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217984151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047311523840).

4217984151264 is an abundant number, since it is smaller than the sum of its proper divisors (9876638896416).

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

4217984151264 is a wasteful number, since it uses less digits than its factorization.

4217984151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8355 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 4217984151264 in words is "four trillion, two hundred seventeen billion, nine hundred eighty-four million, one hundred fifty-one thousand, two hundred sixty-four".