10205663040 has 1120 divisors, whose sum is σ = 43017765120. Its totient is φ = 2277310464.

The previous prime is 10205663033. The next prime is 10205663087. The reversal of 10205663040 is 4036650201.

10205663040 is a `hidden beast` number, since 1 + 0 + 20 + 5 + 6 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10205662995 and 10205663013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192559654 + ... + 192559706.

Almost surely, 2^10205663040 is an apocalyptic number.

10205663040 is a gapful number since it is divisible by the number (10) 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 10205663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508882560).

10205663040 is an abundant number, since it is smaller than the sum of its proper divisors (32812102080).

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

10205663040 is a wasteful number, since it uses less digits than its factorization.

10205663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10205663040 in words is "ten billion, two hundred five million, six hundred sixty-three thousand, forty".