14077509408 has 72 divisors (see below), whose sum is σ = 41009364396. Its totient is φ = 4578048000.

The previous prime is 14077509373. The next prime is 14077509497. The reversal of 14077509408 is 80490577041.

It is a happy number.

14077509408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11874896784 + 2202612624 = 108972^2 + 46932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14077509408² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 584293 + ... + 607908.

Almost surely, 2^14077509408 is an apocalyptic number.

14077509408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14077509408 is an abundant number, since it is smaller than the sum of its proper divisors (26931854988).

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

14077509408 is a wasteful number, since it uses less digits than its factorization.

14077509408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192258 (or 1192247 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 14077509408 in words is "fourteen billion, seventy-seven million, five hundred nine thousand, four hundred eight".