201123524414040 has 128 divisors (see below), whose sum is σ = 629675447500800. Its totient is φ = 51295257474560.

The previous prime is 201123524413951. The next prime is 201123524414123. The reversal of 201123524414040 is 40414425321102.

It is a junction number, because it is equal to n+sod(n) for n = 201123524413992 and 201123524414010.

It is a congruent 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, 20247706 + ... + 28499414.

It is an arithmetic number, because the mean of its divisors is an integer number (4919339433600).

Almost surely, 2^{201123524414040} is an apocalyptic number.

201123524414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201123524414040 is an abundant number, since it is smaller than the sum of its proper divisors (428551923086760).

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

201123524414040 is a wasteful number, since it uses less digits than its factorization.

201123524414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260577 (or 8260573 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 201123524414040 its reverse (40414425321102), we get a palindrome (241537949735142).

The spelling of 201123524414040 in words is "two hundred one trillion, one hundred twenty-three billion, five hundred twenty-four million, four hundred fourteen thousand, forty".