201414301400 has 144 divisors (see below), whose sum is σ = 507540618000. Its totient is φ = 74301027840.

The previous prime is 201414301393. The next prime is 201414301427. The reversal of 201414301400 is 4103414102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52354277 + ... + 52358123.

It is an arithmetic number, because the mean of its divisors is an integer number (3524587625).

Almost surely, 2^201414301400 is an apocalyptic number.

201414301400 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 201414301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253770309000).

201414301400 is an abundant number, since it is smaller than the sum of its proper divisors (306126316600).

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

201414301400 is a wasteful number, since it uses less digits than its factorization.

201414301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201414301400 its reverse (4103414102), we get a palindrome (205517715502).

The spelling of 201414301400 in words is "two hundred one billion, four hundred fourteen million, three hundred one thousand, four hundred".