20302010413440 has 512 divisors, whose sum is σ = 75079641415680. Its totient is φ = 4570180608000.

The previous prime is 20302010413231. The next prime is 20302010413457. The reversal of 20302010413440 is 4431401020302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20302010413440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 926556085 + ... + 926577995.

It is an arithmetic number, because the mean of its divisors is an integer number (146639924640).

Almost surely, 2^{20302010413440} is an apocalyptic number.

20302010413440 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 20302010413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37539820707840).

20302010413440 is an abundant number, since it is smaller than the sum of its proper divisors (54777631002240).

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

20302010413440 is a wasteful number, since it uses less digits than its factorization.

20302010413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22982 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20302010413440 its reverse (4431401020302), we get a palindrome (24733411433742).

The spelling of 20302010413440 in words is "twenty trillion, three hundred two billion, ten million, four hundred thirteen thousand, four hundred forty".