4217882423040 has 864 divisors, whose sum is σ = 17681228570880. Its totient is φ = 943847424000.

The previous prime is 4217882422981. The next prime is 4217882423047. The reversal of 4217882423040 is 403242887124.

4217882423040 is a `hidden beast` number, since 4 + 21 + 7 + 88 + 242 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217882423047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64214215 + ... + 64279865.

It is an arithmetic number, because the mean of its divisors is an integer number (20464384920).

Almost surely, 2^{4217882423040} is an apocalyptic number.

4217882423040 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 4217882423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840614285440).

4217882423040 is an abundant number, since it is smaller than the sum of its proper divisors (13463346147840).

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

4217882423040 is a wasteful number, since it uses less digits than its factorization.

4217882423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65718 (or 65685 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 4217882423040 in words is "four trillion, two hundred seventeen billion, eight hundred eighty-two million, four hundred twenty-three thousand, forty".