20492845310340 has 288 divisors, whose sum is σ = 69271811481600. Its totient is φ = 4869727672320.

The previous prime is 20492845310317. The next prime is 20492845310351. The reversal of 20492845310340 is 4301354829402.

20492845310340 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 2 + 84 + 531 + 0 + 34 + 0 = 666.

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

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, 29323501 + ... + 30014219.

It is an arithmetic number, because the mean of its divisors is an integer number (240527123200).

Almost surely, 2^{20492845310340} is an apocalyptic number.

20492845310340 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 20492845310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34635905740800).

20492845310340 is an abundant number, since it is smaller than the sum of its proper divisors (48778966171260).

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

20492845310340 is a wasteful number, since it uses less digits than its factorization.

20492845310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691187 (or 691182 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20492845310340 in words is "twenty trillion, four hundred ninety-two billion, eight hundred forty-five million, three hundred ten thousand, three hundred forty".