1429044864 has 128 divisors (see below), whose sum is σ = 4138344000. Its totient is φ = 434282496.

The previous prime is 1429044863. The next prime is 1429044887. The reversal of 1429044864 is 4684409241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1429044864³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1429044863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412612 + ... + 416060.

Almost surely, 2^1429044864 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 1429044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069172000).

1429044864 is an abundant number, since it is smaller than the sum of its proper divisors (2709299136).

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

1429044864 is a wasteful number, since it uses less digits than its factorization.

1429044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1429044864 is about 37802.7097441440. The cubic root of 1429044864 is about 1126.3722813535.

The spelling of 1429044864 in words is "one billion, four hundred twenty-nine million, forty-four thousand, eight hundred sixty-four".