201331412304400 has 240 divisors, whose sum is σ = 585413410893696. Its totient is φ = 64956645826560.

The previous prime is 201331412304313. The next prime is 201331412304509. The reversal of 201331412304400 is 4403214133102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 288440622 + ... + 289137778.

Almost surely, 2^{201331412304400} is an apocalyptic number.

201331412304400 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 201331412304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292706705446848).

201331412304400 is an abundant number, since it is smaller than the sum of its proper divisors (384081998589296).

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

201331412304400 is a wasteful number, since it uses less digits than its factorization.

201331412304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703266 (or 703255 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 201331412304400 its reverse (4403214133102), we get a palindrome (205734626437502).

The spelling of 201331412304400 in words is "two hundred one trillion, three hundred thirty-one billion, four hundred twelve million, three hundred four thousand, four hundred".