20303343695040 has 336 divisors, whose sum is σ = 75011282438400. Its totient is φ = 4639305259008.

The previous prime is 20303343695029. The next prime is 20303343695053. The reversal of 20303343695040 is 4059634330302.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20303343694983 and 20303343695001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153237141 + ... + 153369579.

It is an arithmetic number, because the mean of its divisors is an integer number (223247864400).

Almost surely, 2^{20303343695040} is an apocalyptic number.

20303343695040 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 20303343695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37505641219200).

20303343695040 is an abundant number, since it is smaller than the sum of its proper divisors (54707938743360).

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

20303343695040 is a wasteful number, since it uses less digits than its factorization.

20303343695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135732 (or 135715 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 20303343695040 in words is "twenty trillion, three hundred three billion, three hundred forty-three million, six hundred ninety-five thousand, forty".