20340448128 has 768 divisors, whose sum is σ = 81265766400. Its totient is φ = 4711219200.

The previous prime is 20340448103. The next prime is 20340448151. The reversal of 20340448128 is 82184404302.

20340448128 is a `hidden beast` number, since 203 + 4 + 0 + 448 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20340448092 and 20340448101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35747428 + ... + 35747996.

It is an arithmetic number, because the mean of its divisors is an integer number (105814800).

Almost surely, 2^20340448128 is an apocalyptic number.

20340448128 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 20340448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632883200).

20340448128 is an abundant number, since it is smaller than the sum of its proper divisors (60925318272).

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

20340448128 is a wasteful number, since it uses less digits than its factorization.

20340448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20340448128 in words is "twenty billion, three hundred forty million, four hundred forty-eight thousand, one hundred twenty-eight".