1429239168000 has 1760 divisors, whose sum is σ = 6231725660160. Its totient is φ = 318969446400.

The previous prime is 1429239167963. The next prime is 1429239168001. The reversal of 1429239168000 is 8619329241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429239168001) 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 159 ways as a sum of consecutive naturals, for example, 3411071791 + ... + 3411072209.

It is an arithmetic number, because the mean of its divisors is an integer number (3540753216).

Almost surely, 2^{1429239168000} is an apocalyptic number.

1429239168000 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 1429239168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115862830080).

1429239168000 is an abundant number, since it is smaller than the sum of its proper divisors (4802486492160).

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

1429239168000 is an equidigital number, since it uses as much as digits as its factorization.

1429239168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1429239168000 in words is "one trillion, four hundred twenty-nine billion, two hundred thirty-nine million, one hundred sixty-eight thousand".