10141264294560 has 864 divisors, whose sum is σ = 41806844876160. Its totient is φ = 2314748233728.

The previous prime is 10141264294531. The next prime is 10141264294597. The reversal of 10141264294560 is 6549246214101.

10141264294560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 2 + 64 + 29 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1518377301 + ... + 1518383979.

It is an arithmetic number, because the mean of its divisors is an integer number (48387551940).

Almost surely, 2^{10141264294560} is an apocalyptic number.

10141264294560 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 10141264294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903422438080).

10141264294560 is an abundant number, since it is smaller than the sum of its proper divisors (31665580581600).

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

10141264294560 is an equidigital number, since it uses as much as digits as its factorization.

10141264294560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10141264294560 in words is "ten trillion, one hundred forty-one billion, two hundred sixty-four million, two hundred ninety-four thousand, five hundred sixty".