141404400 has 120 divisors (see below), whose sum is σ = 503333360. Its totient is φ = 37704960.

The previous prime is 141404383. The next prime is 141404443. The reversal of 141404400 is 4404141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254 + ... + 17346.

Almost surely, 2^141404400 is an apocalyptic number.

141404400 is a gapful number since it is divisible by the number (10) 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 141404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251666680).

141404400 is an abundant number, since it is smaller than the sum of its proper divisors (361928960).

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

141404400 is a wasteful number, since it uses less digits than its factorization.

141404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141404400 is about 11891.3582066978. The cubic root of 141404400 is about 520.9799076890.

Adding to 141404400 its reverse (4404141), we get a palindrome (145808541).

The spelling of 141404400 in words is "one hundred forty-one million, four hundred four thousand, four hundred".