1429490480000 has 320 divisors, whose sum is σ = 4050984769920. Its totient is φ = 497207040000.

The previous prime is 1429490479979. The next prime is 1429490480027. The reversal of 1429490480000 is 840949241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 1429490480000.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 20204687 + ... + 20275313.

It is an arithmetic number, because the mean of its divisors is an integer number (12659327406).

Almost surely, 2^{1429490480000} is an apocalyptic number.

1429490480000 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 1429490480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025492384960).

1429490480000 is an abundant number, since it is smaller than the sum of its proper divisors (2621494289920).

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

1429490480000 is an equidigital number, since it uses as much as digits as its factorization.

1429490480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70695 (or 70668 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 1429490480000 in words is "one trillion, four hundred twenty-nine billion, four hundred ninety million, four hundred eighty thousand".