20338698240 has 960 divisors, whose sum is σ = 86763156480. Its totient is φ = 4459069440.

The previous prime is 20338698157. The next prime is 20338698301. The reversal of 20338698240 is 4289683302.

20338698240 is a `hidden beast` number, since 20 + 3 + 386 + 9 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179988424 + ... + 179988536.

It is an arithmetic number, because the mean of its divisors is an integer number (90378288).

Almost surely, 2^20338698240 is an apocalyptic number.

20338698240 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 20338698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43381578240).

20338698240 is an abundant number, since it is smaller than the sum of its proper divisors (66424458240).

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

20338698240 is a wasteful number, since it uses less digits than its factorization.

20338698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20338698240 in words is "twenty billion, three hundred thirty-eight million, six hundred ninety-eight thousand, two hundred forty".