1404429312 has 352 divisors, whose sum is σ = 4621962240. Its totient is φ = 373063680.

The previous prime is 1404429311. The next prime is 1404429317. The reversal of 1404429312 is 2139244041.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 1404429312.

It is not an unprimeable number, because it can be changed into a prime (1404429311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10103739 + ... + 10103877.

Almost surely, 2^1404429312 is an apocalyptic number.

1404429312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310981120).

1404429312 is an abundant number, since it is smaller than the sum of its proper divisors (3217532928).

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

1404429312 is a wasteful number, since it uses less digits than its factorization.

1404429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1404429312 is about 37475.7162973571. The cubic root of 1404429312 is about 1119.8674673109.

The spelling of 1404429312 in words is "one billion, four hundred four million, four hundred twenty-nine thousand, three hundred twelve".