23201440043140 has 96 divisors (see below), whose sum is σ = 51645196360800. Its totient is φ = 8739851796480.

The previous prime is 23201440043101. The next prime is 23201440043153. The reversal of 23201440043140 is 4134004410232.

It can be written as a sum of positive squares in 16 ways, for example, as 17719183061056 + 5482256982084 = 4209416^2 + 2341422^2 .

It is a super-3 number, since 3×23201440043140³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 23201440043099 and 23201440043108.

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, 98069472 + ... + 98305768.

It is an arithmetic number, because the mean of its divisors is an integer number (537970795425).

Almost surely, 2^{23201440043140} is an apocalyptic number.

23201440043140 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 23201440043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25822598180400).

23201440043140 is an abundant number, since it is smaller than the sum of its proper divisors (28443756317660).

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

23201440043140 is a wasteful number, since it uses less digits than its factorization.

23201440043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240505 (or 240503 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23201440043140 its reverse (4134004410232), we get a palindrome (27335444453372).

The spelling of 23201440043140 in words is "twenty-three trillion, two hundred one billion, four hundred forty million, forty-three thousand, one hundred forty".