201332341142400 has 192 divisors, whose sum is σ = 714149045129520. Its totient is φ = 49558730096640.

The previous prime is 201332341142389. The next prime is 201332341142417. The reversal of 201332341142400 is 4241143233102.

201332341142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 806495157 + ... + 806744756.

Almost surely, 2^{201332341142400} is an apocalyptic number.

201332341142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201332341142400 is an abundant number, since it is smaller than the sum of its proper divisors (512816703987120).

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

201332341142400 is a wasteful number, since it uses less digits than its factorization.

201332341142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613239953 (or 1613239936 counting only the distinct ones).

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

Adding to 201332341142400 its reverse (4241143233102), we get a palindrome (205573484375502).

The spelling of 201332341142400 in words is "two hundred one trillion, three hundred thirty-two billion, three hundred forty-one million, one hundred forty-two thousand, four hundred".