1429056245760 has 832 divisors, whose sum is σ = 5399372998656. Its totient is φ = 318151065600.

The previous prime is 1429056245677. The next prime is 1429056245777. The reversal of 1429056245760 is 675426509241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2732420859 + ... + 2732421381.

It is an arithmetic number, because the mean of its divisors is an integer number (6489631008).

Almost surely, 2^{1429056245760} is an apocalyptic number.

1429056245760 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 1429056245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699686499328).

1429056245760 is an abundant number, since it is smaller than the sum of its proper divisors (3970316752896).

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

1429056245760 is a wasteful number, since it uses less digits than its factorization.

1429056245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 1429056245760 in words is "one trillion, four hundred twenty-nine billion, fifty-six million, two hundred forty-five thousand, seven hundred sixty".