1429284241680 has 320 divisors, whose sum is σ = 4603438694400. Its totient is φ = 366459033600.

The previous prime is 1429284241663. The next prime is 1429284241681. The reversal of 1429284241680 is 861424829241.

It is not an unprimeable number, because it can be changed into a prime (1429284241681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859460529 + ... + 859462191.

It is an arithmetic number, because the mean of its divisors is an integer number (14385745920).

Almost surely, 2^{1429284241680} is an apocalyptic number.

1429284241680 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 1429284241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301719347200).

1429284241680 is an abundant number, since it is smaller than the sum of its proper divisors (3174154452720).

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

1429284241680 is a wasteful number, since it uses less digits than its factorization.

1429284241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 1429284241680 in words is "one trillion, four hundred twenty-nine billion, two hundred eighty-four million, two hundred forty-one thousand, six hundred eighty".