1430694144 has 288 divisors, whose sum is σ = 4772167680. Its totient is φ = 418867200.

The previous prime is 1430694107. The next prime is 1430694191. The reversal of 1430694144 is 4414960341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1430694099 and 1430694108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356689 + ... + 2357295.

Almost surely, 2^1430694144 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 1430694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386083840).

1430694144 is an abundant number, since it is smaller than the sum of its proper divisors (3341473536).

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

1430694144 is a wasteful number, since it uses less digits than its factorization.

1430694144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1430694144 is about 37824.5177629537. The cubic root of 1430694144 is about 1126.8054352532.

The spelling of 1430694144 in words is "one billion, four hundred thirty million, six hundred ninety-four thousand, one hundred forty-four".