10456461441 has 48 divisors (see below), whose sum is σ = 15636830976. Its totient is φ = 6729666048.

The previous prime is 10456461359. The next prime is 10456461493. The reversal of 10456461441 is 14416465401.

10456461441 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 646 + 1 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 10456461441 - 2¹⁴ = 10456445057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10456461396 and 10456461405.

It is not an unprimeable number, because it can be changed into a prime (10456465441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13526731 + ... + 13527503.

It is an arithmetic number, because the mean of its divisors is an integer number (325767312).

Almost surely, 2^10456461441 is an apocalyptic number.

It is an amenable number.

10456461441 is a deficient number, since it is larger than the sum of its proper divisors (5180369535).

10456461441 is a wasteful number, since it uses less digits than its factorization.

10456461441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10456461441 in words is "ten billion, four hundred fifty-six million, four hundred sixty-one thousand, four hundred forty-one".