141133414400 has 408 divisors, whose sum is σ = 393187834368. Its totient is φ = 49807360000.

The previous prime is 141133414349. The next prime is 141133414423. The reversal of 141133414400 is 4414331141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 141133414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738918305 + ... + 738918495.

Almost surely, 2^141133414400 is an apocalyptic number.

141133414400 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 141133414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196593917184).

141133414400 is an abundant number, since it is smaller than the sum of its proper divisors (252054419968).

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

141133414400 is an equidigital number, since it uses as much as digits as its factorization.

141133414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 141133414400 its reverse (4414331141), we get a palindrome (145547745541).

The spelling of 141133414400 in words is "one hundred forty-one billion, one hundred thirty-three million, four hundred fourteen thousand, four hundred".