1429812144 has 60 divisors (see below), whose sum is σ = 4005977976. Its totient is φ = 476069376.

The previous prime is 1429812133. The next prime is 1429812157. The reversal of 1429812144 is 4412189241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1429812099 and 1429812108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135607 + ... + 145769.

Almost surely, 2^1429812144 is an apocalyptic number.

It is an amenable number.

1429812144 is an abundant number, since it is smaller than the sum of its proper divisors (2576165832).

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

1429812144 is a wasteful number, since it uses less digits than its factorization.

1429812144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154 (or 11145 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1429812144 is about 37812.8568611260. The cubic root of 1429812144 is about 1126.5738351596.

The spelling of 1429812144 in words is "one billion, four hundred twenty-nine million, eight hundred twelve thousand, one hundred forty-four".