20814096240 has 240 divisors, whose sum is σ = 80028681408. Its totient is φ = 4749041664.

The previous prime is 20814096223. The next prime is 20814096323. The reversal of 20814096240 is 4269041802.

20814096240 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 409 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20814096195 and 20814096204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3086152 + ... + 3092888.

Almost surely, 2^20814096240 is an apocalyptic number.

20814096240 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 20814096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40014340704).

20814096240 is an abundant number, since it is smaller than the sum of its proper divisors (59214585168).

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

20814096240 is a wasteful number, since it uses less digits than its factorization.

20814096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20814096240 in words is "twenty billion, eight hundred fourteen million, ninety-six thousand, two hundred forty".