20313242301440 has 176 divisors, whose sum is σ = 53177886331200. Its totient is φ = 7383841505280.

The previous prime is 20313242301437. The next prime is 20313242301463. The reversal of 20313242301440 is 4410324231302.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×20313242301440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151940864 + ... + 152074496.

Almost surely, 2^{20313242301440} is an apocalyptic number.

20313242301440 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 20313242301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26588943165600).

20313242301440 is an abundant number, since it is smaller than the sum of its proper divisors (32864644029760).

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

20313242301440 is a wasteful number, since it uses less digits than its factorization.

20313242301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136368 (or 136350 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 20313242301440 its reverse (4410324231302), we get a palindrome (24723566532742).

The spelling of 20313242301440 in words is "twenty trillion, three hundred thirteen billion, two hundred forty-two million, three hundred one thousand, four hundred forty".