20417027270640 has 640 divisors, whose sum is σ = 85002511491072. Its totient is φ = 3915139829760.

The previous prime is 20417027270611. The next prime is 20417027270641. The reversal of 20417027270640 is 4607272071402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20417027270592 and 20417027270601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20417027270641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1201912227 + ... + 1201929213.

Almost surely, 2^{20417027270640} is an apocalyptic number.

20417027270640 is a gapful number since it is divisible by the number (20) 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 20417027270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42501255745536).

20417027270640 is an abundant number, since it is smaller than the sum of its proper divisors (64585484220432).

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

20417027270640 is a wasteful number, since it uses less digits than its factorization.

20417027270640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22037 (or 22031 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 20417027270640 in words is "twenty trillion, four hundred seventeen billion, twenty-seven million, two hundred seventy thousand, six hundred forty".