1429837056 has 144 divisors (see below), whose sum is σ = 4365329920. Its totient is φ = 461168640.

The previous prime is 1429837009. The next prime is 1429837061. The reversal of 1429837056 is 6507389241.

1429837056 is a `hidden beast` number, since 142 + 98 + 370 + 56 = 666.

1429837056 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

1429837056 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210936 + ... + 217608.

It is a 1-persistent number, because it is pandigital, but 2⋅1429837056 = 2859674112 is not.

Almost surely, 2^1429837056 is an apocalyptic number.

1429837056 is a gapful number since it is divisible by the number (16) 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 1429837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182664960).

1429837056 is an abundant number, since it is smaller than the sum of its proper divisors (2935492864).

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

1429837056 is an equidigital number, since it uses as much as digits as its factorization.

1429837056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1429837056 is about 37813.1862714583. The cubic root of 1429837056 is about 1126.5803779875.

The spelling of 1429837056 in words is "one billion, four hundred twenty-nine million, eight hundred thirty-seven thousand, fifty-six".