10461821340960 has 2304 divisors, whose sum is σ = 44170334208000. Its totient is φ = 2311017246720.

The previous prime is 10461821340953. The next prime is 10461821340983. The reversal of 10461821340960 is 6904312816401.

10461821340960 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 182 + 1 + 3 + 409 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27603750051 + ... + 27603750429.

It is an arithmetic number, because the mean of its divisors is an integer number (19171152000).

Almost surely, 2^{10461821340960} is an apocalyptic number.

10461821340960 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 10461821340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085167104000).

10461821340960 is an abundant number, since it is smaller than the sum of its proper divisors (33708512867040).

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

10461821340960 is a wasteful number, since it uses less digits than its factorization.

10461821340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

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

The spelling of 10461821340960 in words is "ten trillion, four hundred sixty-one billion, eight hundred twenty-one million, three hundred forty thousand, nine hundred sixty".