20338111656240 has 640 divisors, whose sum is σ = 73941187461120. Its totient is φ = 4528040914944.

The previous prime is 20338111656227. The next prime is 20338111656253. The reversal of 20338111656240 is 4265611183302.

It is an interprime number because it is at equal distance from previous prime (20338111656227) and next prime (20338111656253).

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 = 20338111656192 and 20338111656201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25842581127 + ... + 25842581913.

It is an arithmetic number, because the mean of its divisors is an integer number (115533105408).

Almost surely, 2^{20338111656240} is an apocalyptic number.

20338111656240 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 20338111656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36970593730560).

20338111656240 is an abundant number, since it is smaller than the sum of its proper divisors (53603075804880).

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

20338111656240 is a wasteful number, since it uses less digits than its factorization.

20338111656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 20338111656240 in words is "twenty trillion, three hundred thirty-eight billion, one hundred eleven million, six hundred fifty-six thousand, two hundred forty".