141141022004400 has 240 divisors, whose sum is σ = 493424409352320. Its totient is φ = 34202082867200.

The previous prime is 141141022004357. The next prime is 141141022004419. The reversal of 141141022004400 is 4400220141141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30284644 + ... + 34632956.

It is an arithmetic number, because the mean of its divisors is an integer number (2055935038968).

Almost surely, 2^{141141022004400} is an apocalyptic number.

141141022004400 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 141141022004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246712204676160).

141141022004400 is an abundant number, since it is smaller than the sum of its proper divisors (352283387347920).

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

141141022004400 is a wasteful number, since it uses less digits than its factorization.

141141022004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350804 (or 4350793 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 141141022004400 its reverse (4400220141141), we get a palindrome (145541242145541).

The spelling of 141141022004400 in words is "one hundred forty-one trillion, one hundred forty-one billion, twenty-two million, four thousand, four hundred".