20355245040 has 320 divisors, whose sum is σ = 70011518976. Its totient is φ = 4860850176.

The previous prime is 20355245033. The next prime is 20355245077. The reversal of 20355245040 is 4054255302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20355244989 and 20355245007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18622734 + ... + 18623826.

Almost surely, 2^20355245040 is an apocalyptic number.

20355245040 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 20355245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35005759488).

20355245040 is an abundant number, since it is smaller than the sum of its proper divisors (49656273936).

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

20355245040 is a wasteful number, since it uses less digits than its factorization.

20355245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 20355245040 in words is "twenty billion, three hundred fifty-five million, two hundred forty-five thousand, forty".