20275943040 has 192 divisors, whose sum is σ = 70292930760. Its totient is φ = 5385486336.

The previous prime is 20275943003. The next prime is 20275943047. The reversal of 20275943040 is 4034957202.

20275943040 is a `hidden beast` number, since 2 + 0 + 27 + 594 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16480397376 + 3795545664 = 128376^2 + 61608^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20275943040² (a number of 21 digits) contains 22 as substring.

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 = 20275942986 and 20275943004.

It is not an unprimeable number, because it can be changed into a prime (20275943047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1473472 + ... + 1487168.

Almost surely, 2^20275943040 is an apocalyptic number.

20275943040 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 20275943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35146465380).

20275943040 is an abundant number, since it is smaller than the sum of its proper divisors (50016987720).

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

20275943040 is a wasteful number, since it uses less digits than its factorization.

20275943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13964 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20275943040 in words is "twenty billion, two hundred seventy-five million, nine hundred forty-three thousand, forty".