12649175040 has 384 divisors, whose sum is σ = 43751897280. Its totient is φ = 3107979264.

The previous prime is 12649175009. The next prime is 12649175047. The reversal of 12649175040 is 4057194621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12649175040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12649175047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27678492 + ... + 27678948.

Almost surely, 2^12649175040 is an apocalyptic number.

12649175040 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 12649175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21875948640).

12649175040 is an abundant number, since it is smaller than the sum of its proper divisors (31102722240).

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

12649175040 is a wasteful number, since it uses less digits than its factorization.

12649175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12649175040 in words is "twelve billion, six hundred forty-nine million, one hundred seventy-five thousand, forty".