13041644332320 has 1152 divisors, whose sum is σ = 52638252226560. Its totient is φ = 3028683571200.

The previous prime is 13041644332279. The next prime is 13041644332349. The reversal of 13041644332320 is 2323344614031.

It is a happy number.

13041644332320 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 1 + 644 + 3 + 3 + 2 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 539992245 + ... + 540016395.

It is an arithmetic number, because the mean of its divisors is an integer number (45692927280).

Almost surely, 2^{13041644332320} is an apocalyptic number.

13041644332320 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 13041644332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319126113280).

13041644332320 is an abundant number, since it is smaller than the sum of its proper divisors (39596607894240).

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

13041644332320 is a wasteful number, since it uses less digits than its factorization.

13041644332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24260 (or 24240 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13041644332320 its reverse (2323344614031), we get a palindrome (15364988946351).

The spelling of 13041644332320 in words is "thirteen trillion, forty-one billion, six hundred forty-four million, three hundred thirty-two thousand, three hundred twenty".