201404014400 has 84 divisors (see below), whose sum is σ = 496817195340. Its totient is φ = 80360448000.

The previous prime is 201404014397. The next prime is 201404014429. The reversal of 201404014400 is 4410404102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35337984256 + 166066030144 = 187984^2 + 407512^2 .

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 11 ways as a sum of consecutive naturals, for example, 484646 + ... + 798554.

Almost surely, 2^201404014400 is an apocalyptic number.

201404014400 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 201404014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248408597670).

201404014400 is an abundant number, since it is smaller than the sum of its proper divisors (295413180940).

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

201404014400 is a wasteful number, since it uses less digits than its factorization.

201404014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314332 (or 314317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201404014400 its reverse (4410404102), we get a palindrome (205814418502).

The spelling of 201404014400 in words is "two hundred one billion, four hundred four million, fourteen thousand, four hundred".