1429416144 has 120 divisors (see below), whose sum is σ = 4495545600. Its totient is φ = 420685056.

The previous prime is 1429416137. The next prime is 1429416173. The reversal of 1429416144 is 4416149241.

It is a happy number.

1429416144 is a `hidden beast` number, since 14 + 29 + 4 + 1 + 614 + 4 = 666.

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 = 1429416099 and 1429416108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26457 + ... + 59655.

It is an arithmetic number, because the mean of its divisors is an integer number (37462880).

Almost surely, 2^1429416144 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 1429416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247772800).

1429416144 is an abundant number, since it is smaller than the sum of its proper divisors (3066129456).

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

1429416144 is a wasteful number, since it uses less digits than its factorization.

1429416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33249 (or 33240 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1429416144 is about 37807.6201842962. The cubic root of 1429416144 is about 1126.4698204625.

The spelling of 1429416144 in words is "one billion, four hundred twenty-nine million, four hundred sixteen thousand, one hundred forty-four".