141426432000 has 1536 divisors, whose sum is σ = 621444096000. Its totient is φ = 31054233600.

The previous prime is 141426431953. The next prime is 141426432041. The reversal of 141426432000 is 234624141.

It is a happy number.

141426432000 is a `hidden beast` number, since 1 + 4 + 14 + 2 + 643 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1790207961 + ... + 1790208039.

It is an arithmetic number, because the mean of its divisors is an integer number (404586000).

Almost surely, 2^141426432000 is an apocalyptic number.

141426432000 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 141426432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310722048000).

141426432000 is an abundant number, since it is smaller than the sum of its proper divisors (480017664000).

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

141426432000 is an equidigital number, since it uses as much as digits as its factorization.

141426432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 141426432000 in words is "one hundred forty-one billion, four hundred twenty-six million, four hundred thirty-two thousand".