1429663630464 has 256 divisors, whose sum is σ = 4267495584000. Its totient is φ = 471152443392.

The previous prime is 1429663630459. The next prime is 1429663630511. The reversal of 1429663630464 is 4640363669241.

1429663630464 is a `hidden beast` number, since 1 + 4 + 2 + 96 + 63 + 6 + 30 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1429663630464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183450952 + ... + 183458744.

It is an arithmetic number, because the mean of its divisors is an integer number (16669904625).

Almost surely, 2^{1429663630464} 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 1429663630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133747792000).

1429663630464 is an abundant number, since it is smaller than the sum of its proper divisors (2837831953536).

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

1429663630464 is a wasteful number, since it uses less digits than its factorization.

1429663630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 1429663630464 in words is "one trillion, four hundred twenty-nine billion, six hundred sixty-three million, six hundred thirty thousand, four hundred sixty-four".