10441501416801 has 72 divisors (see below), whose sum is σ = 18914493223080. Its totient is φ = 5501673805824.

The previous prime is 10441501416737. The next prime is 10441501416817. The reversal of 10441501416801 is 10861410514401.

10441501416801 is a `hidden beast` number, since 1 + 0 + 441 + 50 + 1 + 4 + 168 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223256250000 + 10218245166801 = 472500^2 + 3196599^2 .

It is not a de Polignac number, because 10441501416801 - 2⁶ = 10441501416737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10441501416821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4345711 + ... + 6306203.

It is an arithmetic number, because the mean of its divisors is an integer number (262701294765).

Almost surely, 2^{10441501416801} is an apocalyptic number.

It is an amenable number.

10441501416801 is a deficient number, since it is larger than the sum of its proper divisors (8472991806279).

10441501416801 is a wasteful number, since it uses less digits than its factorization.

10441501416801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961455 (or 1961445 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10441501416801 in words is "ten trillion, four hundred forty-one billion, five hundred one million, four hundred sixteen thousand, eight hundred one".