74111799010041 has 81 divisors (see below), whose sum is σ = 117611933788557. Its totient is φ = 44950442322240.

The previous prime is 74111799009971. The next prime is 74111799010147. The reversal of 74111799010041 is 14001099711147.

The square root of 74111799010041 is 8608821.

It is a perfect power (a square), and thus also a powerful number.

74111799010041 is a `hidden beast` number, since 7 + 411 + 1 + 7 + 9 + 90 + 100 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33800677407225 + 40311121602816 = 5813835^2 + 6349104^2 .

It is not a de Polignac number, because 74111799010041 - 2¹¹ = 74111799007993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74111799080041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23837823795 + ... + 23837826903.

Almost surely, 2^{74111799010041} is an apocalyptic number.

74111799010041 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

74111799010041 is the 8608821-st square number.

74111799010041 is the 4304411-st centered octagonal number.

It is an amenable number.

74111799010041 is a deficient number, since it is larger than the sum of its proper divisors (43500134778516).

74111799010041 is an frugal number, since it uses more digits than its factorization.

74111799010041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 74111799010041 in words is "seventy-four trillion, one hundred eleven billion, seven hundred ninety-nine million, ten thousand, forty-one".