20040513224160 has 768 divisors, whose sum is σ = 77496062902272. Its totient is φ = 4283642880000.

The previous prime is 20040513224159. The next prime is 20040513224161. The reversal of 20040513224160 is 6142231504002.

It is an interprime number because it is at equal distance from previous prime (20040513224159) and next prime (20040513224161).

It is a super-3 number, since 3×20040513224160³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040513224161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1185610269 + ... + 1185627171.

It is an arithmetic number, because the mean of its divisors is an integer number (100906331904).

Almost surely, 2^{20040513224160} is an apocalyptic number.

20040513224160 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 20040513224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38748031451136).

20040513224160 is an abundant number, since it is smaller than the sum of its proper divisors (57455549678112).

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

20040513224160 is a wasteful number, since it uses less digits than its factorization.

20040513224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17719 (or 17711 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20040513224160 its reverse (6142231504002), we get a palindrome (26182744728162).

The spelling of 20040513224160 in words is "twenty trillion, forty billion, five hundred thirteen million, two hundred twenty-four thousand, one hundred sixty".