1429928135424 has 144 divisors (see below), whose sum is σ = 4254494428800. Its totient is φ = 473718150144.

The previous prime is 1429928135387. The next prime is 1429928135437. The reversal of 1429928135424 is 4245318299241.

1429928135424 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 9 + 281 + 354 + 2 + 4 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 492067 + ... + 1761245.

It is an arithmetic number, because the mean of its divisors is an integer number (29545100200).

Almost surely, 2^{1429928135424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429928135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127247214400).

1429928135424 is an abundant number, since it is smaller than the sum of its proper divisors (2824566293376).

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

1429928135424 is a wasteful number, since it uses less digits than its factorization.

1429928135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269367 (or 1269347 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1429928135424 in words is "one trillion, four hundred twenty-nine billion, nine hundred twenty-eight million, one hundred thirty-five thousand, four hundred twenty-four".