141131334214400 has 108 divisors (see below), whose sum is σ = 349352812379592. Its totient is φ = 56447571025920.

The previous prime is 141131334214393. The next prime is 141131334214471. The reversal of 141131334214400 is 4412433131141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 72271652 + ... + 74198748.

It is an arithmetic number, because the mean of its divisors is an integer number (3234748262774).

Almost surely, 2^{141131334214400} is an apocalyptic number.

141131334214400 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 141131334214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174676406189796).

141131334214400 is an abundant number, since it is smaller than the sum of its proper divisors (208221478165192).

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

141131334214400 is a wasteful number, since it uses less digits than its factorization.

141131334214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938566 (or 1938547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 141131334214400 its reverse (4412433131141), we get a palindrome (145543767345541).

The spelling of 141131334214400 in words is "one hundred forty-one trillion, one hundred thirty-one billion, three hundred thirty-four million, two hundred fourteen thousand, four hundred".