14934073649440 has 48 divisors (see below), whose sum is σ = 38489180728320. Its totient is φ = 5430572235520.

The previous prime is 14934073649419. The next prime is 14934073649479. The reversal of 14934073649440 is 4494637043941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4242632800 + ... + 4242636319.

It is an arithmetic number, because the mean of its divisors is an integer number (801857931840).

Almost surely, 2^{14934073649440} is an apocalyptic number.

14934073649440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14934073649440 is an abundant number, since it is smaller than the sum of its proper divisors (23555107078880).

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

14934073649440 is a wasteful number, since it uses less digits than its factorization.

14934073649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485269145 (or 8485269137 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 58.

The spelling of 14934073649440 in words is "fourteen trillion, nine hundred thirty-four billion, seventy-three million, six hundred forty-nine thousand, four hundred forty".