14404976640 has 192 divisors, whose sum is σ = 49941602100. Its totient is φ = 3840933888.

The previous prime is 14404976633. The next prime is 14404976681. The reversal of 14404976640 is 4667940441.

It can be written as a sum of positive squares in 2 ways, for example, as 14079246336 + 325730304 = 118656^2 + 18048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1469676 + ... + 1479444.

Almost surely, 2^14404976640 is an apocalyptic number.

14404976640 is a gapful number since it is divisible by the number (10) 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 14404976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24970801050).

14404976640 is an abundant number, since it is smaller than the sum of its proper divisors (35536625460).

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

14404976640 is an frugal number, since it uses more digits than its factorization.

14404976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14404976640 in words is "fourteen billion, four hundred four million, nine hundred seventy-six thousand, six hundred forty".