1429343456640 has 768 divisors, whose sum is σ = 5394796646400. Its totient is φ = 320713113600.

The previous prime is 1429343456627. The next prime is 1429343456647. The reversal of 1429343456640 is 466543439241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429343456647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165639846 + ... + 165648474.

It is an arithmetic number, because the mean of its divisors is an integer number (7024474800).

Almost surely, 2^{1429343456640} is an apocalyptic number.

1429343456640 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 1429343456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697398323200).

1429343456640 is an abundant number, since it is smaller than the sum of its proper divisors (3965453189760).

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

1429343456640 is a wasteful number, since it uses less digits than its factorization.

1429343456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 1429343456640 in words is "one trillion, four hundred twenty-nine billion, three hundred forty-three million, four hundred fifty-six thousand, six hundred forty".