201401400000 has 168 divisors, whose sum is σ = 666052526160. Its totient is φ = 53706880000.

The previous prime is 201401399971. The next prime is 201401400001. The reversal of 201401400000 is 4104102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201401400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432166 + ... + 767834.

It is an arithmetic number, because the mean of its divisors is an integer number (3964598370).

Almost surely, 2^201401400000 is an apocalyptic number.

201401400000 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 201401400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333026263080).

201401400000 is an abundant number, since it is smaller than the sum of its proper divisors (464651126160).

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

201401400000 is an frugal number, since it uses more digits than its factorization.

201401400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335709 (or 335679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201401400000 its reverse (4104102), we get a palindrome (201405504102).

The spelling of 201401400000 in words is "two hundred one billion, four hundred one million, four hundred thousand".