10188040480641 has 81 divisors (see below), whose sum is σ = 15532448433411. Its totient is φ = 6434505516384.

The previous prime is 10188040480613. The next prime is 10188040480661. The reversal of 10188040480641 is 14608404088101.

The square root of 10188040480641 is 3191871.

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

10188040480641 is a `hidden beast` number, since 1 + 0 + 18 + 80 + 40 + 480 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1756009271025 + 8432031209616 = 1325145^2 + 2903796^2 .

It is not a de Polignac number, because 10188040480641 - 2¹⁷ = 10188040349569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10188040480661) 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, 36779929395 + ... + 36779929671.

Almost surely, 2^{10188040480641} is an apocalyptic number.

10188040480641 is the 3191871-st square number.

10188040480641 is the 1595936-th centered octagonal number.

It is an amenable number.

10188040480641 is a deficient number, since it is larger than the sum of its proper divisors (5344407952770).

10188040480641 is an frugal number, since it uses more digits than its factorization.

10188040480641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10188040480641 in words is "ten trillion, one hundred eighty-eight billion, forty million, four hundred eighty thousand, six hundred forty-one".