201413122340430 has 256 divisors, whose sum is σ = 649647952128000. Its totient is φ = 38595852656640.

The previous prime is 201413122340411. The next prime is 201413122340471. The reversal of 201413122340430 is 34043221314102.

201413122340430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28304586 + ... + 34698354.

It is an arithmetic number, because the mean of its divisors is an integer number (2537687313000).

Almost surely, 2^{201413122340430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413122340430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324823976064000).

201413122340430 is an abundant number, since it is smaller than the sum of its proper divisors (448234829787570).

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

201413122340430 is a wasteful number, since it uses less digits than its factorization.

201413122340430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394859.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 201413122340430 its reverse (34043221314102), we get a palindrome (235456343654532).

The spelling of 201413122340430 in words is "two hundred one trillion, four hundred thirteen billion, one hundred twenty-two million, three hundred forty thousand, four hundred thirty".