20307263040 has 336 divisors, whose sum is σ = 73211838336. Its totient is φ = 5156659200.

The previous prime is 20307263027. The next prime is 20307263101. The reversal of 20307263040 is 4036270302.

20307263040 is a `hidden beast` number, since 20 + 3 + 0 + 7 + 2 + 630 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20307262995 and 20307263013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18612895 + ... + 18613985.

It is an arithmetic number, because the mean of its divisors is an integer number (217892376).

Almost surely, 2^20307263040 is an apocalyptic number.

20307263040 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 20307263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36605919168).

20307263040 is an abundant number, since it is smaller than the sum of its proper divisors (52904575296).

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

20307263040 is a wasteful number, since it uses less digits than its factorization.

20307263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 20307263040 in words is "twenty billion, three hundred seven million, two hundred sixty-three thousand, forty".