1429134409728 has 640 divisors, whose sum is σ = 4761647272800. Its totient is φ = 424503410688.

The previous prime is 1429134409691. The next prime is 1429134409753. The reversal of 1429134409728 is 8279044319241.

1429134409728 is a `hidden beast` number, since 1 + 4 + 2 + 91 + 3 + 440 + 97 + 28 = 666.

It is a super-2 number, since 2×1429134409728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 857308351 + ... + 857310017.

Almost surely, 2^{1429134409728} is an apocalyptic number.

1429134409728 is a gapful number since it is divisible by the number (18) 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 1429134409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380823636400).

1429134409728 is an abundant number, since it is smaller than the sum of its proper divisors (3332512863072).

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

1429134409728 is an equidigital number, since it uses as much as digits as its factorization.

1429134409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1429134409728 in words is "one trillion, four hundred twenty-nine billion, one hundred thirty-four million, four hundred nine thousand, seven hundred twenty-eight".