141433130400 has 144 divisors (see below), whose sum is σ = 460687264128. Its totient is φ = 37689088000.

The previous prime is 141433130393. The next prime is 141433130401. The reversal of 141433130400 is 4031334141.

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

It is not an unprimeable number, because it can be changed into a prime (141433130401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534505 + ... + 3574295.

It is an arithmetic number, because the mean of its divisors is an integer number (3199217112).

Almost surely, 2^141433130400 is an apocalyptic number.

141433130400 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 141433130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230343632064).

141433130400 is an abundant number, since it is smaller than the sum of its proper divisors (319254133728).

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

141433130400 is a wasteful number, since it uses less digits than its factorization.

141433130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41295 (or 41282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 141433130400 its reverse (4031334141), we get a palindrome (145464464541).

The spelling of 141433130400 in words is "one hundred forty-one billion, four hundred thirty-three million, one hundred thirty thousand, four hundred".