4217819947840 has 112 divisors (see below), whose sum is σ = 10114590245760. Its totient is φ = 1675245680640.

The previous prime is 4217819947799. The next prime is 4217819947867. The reversal of 4217819947840 is 487499187124.

It is a super-2 number, since 2×4217819947840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38114029 + ... + 38224531.

It is an arithmetic number, because the mean of its divisors is an integer number (90308841480).

Almost surely, 2^{4217819947840} is an apocalyptic number.

4217819947840 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 4217819947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057295122880).

4217819947840 is an abundant number, since it is smaller than the sum of its proper divisors (5896770297920).

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

4217819947840 is a wasteful number, since it uses less digits than its factorization.

4217819947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111360 (or 111350 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 64.

The spelling of 4217819947840 in words is "four trillion, two hundred seventeen billion, eight hundred nineteen million, nine hundred forty-seven thousand, eight hundred forty".