20814935040 has 176 divisors, whose sum is σ = 73973012160. Its totient is φ = 5550612480.

The previous prime is 20814935033. The next prime is 20814935059. The reversal of 20814935040 is 4053941802.

20814935040 is a `hidden beast` number, since 2 + 0 + 8 + 149 + 3 + 504 + 0 = 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 = 20814934986 and 20814935004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62955 + ... + 213525.

Almost surely, 2^20814935040 is an apocalyptic number.

20814935040 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 20814935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36986506080).

20814935040 is an abundant number, since it is smaller than the sum of its proper divisors (53158077120).

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

20814935040 is a wasteful number, since it uses less digits than its factorization.

20814935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150605 (or 150581 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20814935040 in words is "twenty billion, eight hundred fourteen million, nine hundred thirty-five thousand, forty".