20312501440416 has 192 divisors, whose sum is σ = 54091734681600. Its totient is φ = 6673621072896.

The previous prime is 20312501440373. The next prime is 20312501440493. The reversal of 20312501440416 is 61404410521302.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594006141 + ... + 1594018883.

It is an arithmetic number, because the mean of its divisors is an integer number (281727784800).

Almost surely, 2^{20312501440416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312501440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27045867340800).

20312501440416 is an abundant number, since it is smaller than the sum of its proper divisors (33779233241184).

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

20312501440416 is a wasteful number, since it uses less digits than its factorization.

20312501440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13651 (or 13643 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 20312501440416 its reverse (61404410521302), we get a palindrome (81716911961718).

The spelling of 20312501440416 in words is "twenty trillion, three hundred twelve billion, five hundred one million, four hundred forty thousand, four hundred sixteen".