201344525414000 has 80 divisors (see below), whose sum is σ = 486980253158880. Its totient is φ = 80516438668800.

The previous prime is 201344525413957. The next prime is 201344525414051. The reversal of 201344525414000 is 414525443102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5817302 + ... + 20893301.

It is an arithmetic number, because the mean of its divisors is an integer number (6087253164486).

Almost surely, 2^{201344525414000} is an apocalyptic number.

201344525414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201344525414000 is an abundant number, since it is smaller than the sum of its proper divisors (285635727744880).

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

201344525414000 is a wasteful number, since it uses less digits than its factorization.

201344525414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26714395 (or 26714379 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 201344525414000 in words is "two hundred one trillion, three hundred forty-four billion, five hundred twenty-five million, four hundred fourteen thousand".