10461394944 has 1008 divisors, whose sum is σ = 42860595960. Its totient is φ = 2508226560.

The previous prime is 10461394919. The next prime is 10461394991. The reversal of 10461394944 is 44949316401.

10461394944 is a `hidden beast` number, since 10 + 461 + 3 + 94 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 10461394944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 804722682 + ... + 804722694.

Almost surely, 2^10461394944 is an apocalyptic number.

10461394944 is a gapful number since it is divisible by the number (14) 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 10461394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430297980).

10461394944 is an abundant number, since it is smaller than the sum of its proper divisors (32399201016).

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

10461394944 is an equidigital number, since it uses as much as digits as its factorization.

10461394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10461394944 in words is "ten billion, four hundred sixty-one million, three hundred ninety-four thousand, nine hundred forty-four".