1434444672 has 128 divisors (see below), whose sum is σ = 4028918400. Its totient is φ = 450938880.

The previous prime is 1434444643. The next prime is 1434444677. The reversal of 1434444672 is 2764444341.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1434444672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434444677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071383 + ... + 3071849.

It is an arithmetic number, because the mean of its divisors is an integer number (31475925).

Almost surely, 2^1434444672 is an apocalyptic number.

1434444672 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 1434444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014459200).

1434444672 is an abundant number, since it is smaller than the sum of its proper divisors (2594473728).

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

1434444672 is a wasteful number, since it uses less digits than its factorization.

1434444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The square root of 1434444672 is about 37874.0633151501. The cubic root of 1434444672 is about 1127.7892066245.

The spelling of 1434444672 in words is "one billion, four hundred thirty-four million, four hundred forty-four thousand, six hundred seventy-two".