20353213440 has 1232 divisors, whose sum is σ = 90210798720. Its totient is φ = 4299816960.

The previous prime is 20353213417. The next prime is 20353213451. The reversal of 20353213440 is 4431235302.

20353213440 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 3 + 213 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 496419820 + ... + 496419860.

Almost surely, 2^20353213440 is an apocalyptic number.

20353213440 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 20353213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45105399360).

20353213440 is an abundant number, since it is smaller than the sum of its proper divisors (69857585280).

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

20353213440 is an equidigital number, since it uses as much as digits as its factorization.

20353213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20353213440 its reverse (4431235302), we get a palindrome (24784448742).

The spelling of 20353213440 in words is "twenty billion, three hundred fifty-three million, two hundred thirteen thousand, four hundred forty".