12954839040 has 576 divisors, whose sum is σ = 52802305920. Its totient is φ = 2896035840.

The previous prime is 12954839011. The next prime is 12954839087. The reversal of 12954839040 is 4093845921.

12954839040 is a `hidden beast` number, since 12 + 9 + 548 + 3 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13178389 + ... + 13179371.

It is an arithmetic number, because the mean of its divisors is an integer number (91670670).

Almost surely, 2^12954839040 is an apocalyptic number.

12954839040 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 12954839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26401152960).

12954839040 is an abundant number, since it is smaller than the sum of its proper divisors (39847466880).

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

12954839040 is a wasteful number, since it uses less digits than its factorization.

12954839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12954839040 in words is "twelve billion, nine hundred fifty-four million, eight hundred thirty-nine thousand, forty".