201341400414 has 128 divisors (see below), whose sum is σ = 510937113600. Its totient is φ = 51377863680.

The previous prime is 201341400389. The next prime is 201341400461. The reversal of 201341400414 is 414004143102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6439932 + ... + 6471120.

It is an arithmetic number, because the mean of its divisors is an integer number (3991696200).

Almost surely, 2^201341400414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201341400414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255468556800).

201341400414 is an abundant number, since it is smaller than the sum of its proper divisors (309595713186).

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

201341400414 is a wasteful number, since it uses less digits than its factorization.

201341400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31458.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201341400414 its reverse (414004143102), we get a palindrome (615345543516).

The spelling of 201341400414 in words is "two hundred one billion, three hundred forty-one million, four hundred thousand, four hundred fourteen".