10041456672 has 72 divisors (see below), whose sum is σ = 30751972524. Its totient is φ = 3089677824.

The previous prime is 10041456647. The next prime is 10041456697. The reversal of 10041456672 is 27665414001.

10041456672 is a `hidden beast` number, since 10 + 0 + 4 + 14 + 566 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (10041456647) and next prime (10041456697).

It can be written as a sum of positive squares in 2 ways, for example, as 8857821456 + 1183635216 = 94116^2 + 34404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1337263 + ... + 1344750.

Almost surely, 2^10041456672 is an apocalyptic number.

10041456672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041456672 is an abundant number, since it is smaller than the sum of its proper divisors (20710515852).

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

10041456672 is a wasteful number, since it uses less digits than its factorization.

10041456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682042 (or 2682031 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10041456672 in words is "ten billion, forty-one million, four hundred fifty-six thousand, six hundred seventy-two".