20290933440 has 672 divisors, whose sum is σ = 79083164160. Its totient is φ = 4748083200.

The previous prime is 20290933427. The next prime is 20290933447. The reversal of 20290933440 is 4433909202.

20290933440 is a `hidden beast` number, since 20 + 290 + 9 + 3 + 344 + 0 = 666.

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 = 20290933395 and 20290933404.

It is not an unprimeable number, because it can be changed into a prime (20290933447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44014810 + ... + 44015270.

It is an arithmetic number, because the mean of its divisors is an integer number (117683280).

Almost surely, 2^20290933440 is an apocalyptic number.

20290933440 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 20290933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39541582080).

20290933440 is an abundant number, since it is smaller than the sum of its proper divisors (58792230720).

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

20290933440 is a wasteful number, since it uses less digits than its factorization.

20290933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20290933440 in words is "twenty billion, two hundred ninety million, nine hundred thirty-three thousand, four hundred forty".