12329757649440 has 480 divisors, whose sum is σ = 54250938048384. Its totient is φ = 2562027356160.

The previous prime is 12329757649409. The next prime is 12329757649459. The reversal of 12329757649440 is 4494675792321.

12329757649440 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 9 + 75 + 76 + 494 + 4 + 0 = 666.

12329757649440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5179809 + ... + 7175648.

Almost surely, 2^{12329757649440} is an apocalyptic number.

12329757649440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12329757649440 is an abundant number, since it is smaller than the sum of its proper divisors (41921180398944).

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

12329757649440 is a wasteful number, since it uses less digits than its factorization.

12329757649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12355502 (or 12355485 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 12329757649440 in words is "twelve trillion, three hundred twenty-nine billion, seven hundred fifty-seven million, six hundred forty-nine thousand, four hundred forty".