20017041408 has 936 divisors, whose sum is σ = 78569120448. Its totient is φ = 4968677376.

The previous prime is 20017041377. The next prime is 20017041437. The reversal of 20017041408 is 80414071002.

20017041408 is a `hidden beast` number, since 200 + 17 + 0 + 41 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1177473016 + ... + 1177473032.

It is an arithmetic number, because the mean of its divisors is an integer number (83941368).

Almost surely, 2^20017041408 is an apocalyptic number.

20017041408 is a gapful number since it is divisible by the number (28) 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 20017041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39284560224).

20017041408 is an abundant number, since it is smaller than the sum of its proper divisors (58552079040).

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

20017041408 is an equidigital number, since it uses as much as digits as its factorization.

20017041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 20017041408 in words is "twenty billion, seventeen million, forty-one thousand, four hundred eight".