141002004431200 has 144 divisors (see below), whose sum is σ = 375577964440560. Its totient is φ = 51264718848000.

The previous prime is 141002004431161. The next prime is 141002004431207. The reversal of 141002004431200 is 2134400200141.

It is a happy number.

It is a super-2 number, since 2×141002004431200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141002004431207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50390536 + ... + 53115064.

It is an arithmetic number, because the mean of its divisors is an integer number (2608180308615).

Almost surely, 2^{141002004431200} is an apocalyptic number.

141002004431200 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 141002004431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187788982220280).

141002004431200 is an abundant number, since it is smaller than the sum of its proper divisors (234575960009360).

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

141002004431200 is a wasteful number, since it uses less digits than its factorization.

141002004431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730441 (or 2730428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 141002004431200 its reverse (2134400200141), we get a palindrome (143136404631341).

The spelling of 141002004431200 in words is "one hundred forty-one trillion, two billion, four million, four hundred thirty-one thousand, two hundred".