201214130400 has 288 divisors, whose sum is σ = 751201920000. Its totient is φ = 51926054400.

The previous prime is 201214130399. The next prime is 201214130471. The reversal of 201214130400 is 4031412102.

201214130400 is a `hidden beast` number, since 20 + 1 + 214 + 1 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519351 + ... + 819849.

It is an arithmetic number, because the mean of its divisors is an integer number (2608340000).

Almost surely, 2^201214130400 is an apocalyptic number.

201214130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201214130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375600960000).

201214130400 is an abundant number, since it is smaller than the sum of its proper divisors (549987789600).

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

201214130400 is a wasteful number, since it uses less digits than its factorization.

201214130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300559 (or 300540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201214130400 its reverse (4031412102), we get a palindrome (205245542502).

The spelling of 201214130400 in words is "two hundred one billion, two hundred fourteen million, one hundred thirty thousand, four hundred".