201315441400000 has 84 divisors (see below), whose sum is σ = 499324702954896. Its totient is φ = 80526176480000.

The previous prime is 201315441399991. The next prime is 201315441400037. The reversal of 201315441400000 is 4144513102.

201315441400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 503088604 + ... + 503488603.

It is an arithmetic number, because the mean of its divisors is an integer number (5944341701844).

Almost surely, 2^{201315441400000} is an apocalyptic number.

201315441400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201315441400000 is an abundant number, since it is smaller than the sum of its proper divisors (298009261554896).

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

201315441400000 is an frugal number, since it uses more digits than its factorization.

201315441400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006577244 (or 1006577214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 201315441400000 its reverse (4144513102), we get a palindrome (201319585913102).

The spelling of 201315441400000 in words is "two hundred one trillion, three hundred fifteen billion, four hundred forty-one million, four hundred thousand".