12960829440 has 520 divisors, whose sum is σ = 50118501048. Its totient is φ = 3185049600.

The previous prime is 12960829439. The next prime is 12960829459. The reversal of 12960829440 is 4492806921.

12960829440 is a `hidden beast` number, since 12 + 9 + 608 + 29 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1234538496 + 11726290944 = 35136^2 + 108288^2 .

It is a tau number, because it is divible by the number of its divisors (520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565140 + ... + 21565740.

Almost surely, 2^12960829440 is an apocalyptic number.

12960829440 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 12960829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059250524).

12960829440 is an abundant number, since it is smaller than the sum of its proper divisors (37157671608).

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

12960829440 is an equidigital number, since it uses as much as digits as its factorization.

12960829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 12960 and 829440, that multiplied together give a square (10749542400 = 103680²).

The spelling of 12960829440 in words is "twelve billion, nine hundred sixty million, eight hundred twenty-nine thousand, four hundred forty".