20211130144240 has 320 divisors, whose sum is σ = 57228865689600. Its totient is φ = 6622867722240.

The previous prime is 20211130144099. The next prime is 20211130144243. The reversal of 20211130144240 is 4244103111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211130144243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 818550295 + ... + 818574985.

It is an arithmetic number, because the mean of its divisors is an integer number (178840205280).

Almost surely, 2^{20211130144240} is an apocalyptic number.

20211130144240 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 20211130144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28614432844800).

20211130144240 is an abundant number, since it is smaller than the sum of its proper divisors (37017735545360).

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

20211130144240 is a wasteful number, since it uses less digits than its factorization.

20211130144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26045 (or 26025 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 20211130144240 its reverse (4244103111202), we get a palindrome (24455233255442).

The spelling of 20211130144240 in words is "twenty trillion, two hundred eleven billion, one hundred thirty million, one hundred forty-four thousand, two hundred forty".