10342019241801 has 45 divisors (see below), whose sum is σ = 16185853104369. Its totient is φ = 6363316172304.

The previous prime is 10342019241787. The next prime is 10342019241823. The reversal of 10342019241801 is 10814291024301.

The square root of 10342019241801 is 3215901.

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

10342019241801 is a `hidden beast` number, since 1 + 0 + 3 + 420 + 192 + 41 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5127738331401 + 5214280910400 = 2264451^2 + 2283480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10342019241801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10342019441801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1630458636 + ... + 1630464978.

Almost surely, 2^{10342019241801} is an apocalyptic number.

10342019241801 is the 3215901-st square number.

10342019241801 is the 1607951-st centered octagonal number.

It is an amenable number.

10342019241801 is a deficient number, since it is larger than the sum of its proper divisors (5843833862568).

10342019241801 is an frugal number, since it uses more digits than its factorization.

10342019241801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 10342019241801 by its sum of digits (36), we get a square (372312692704836 = 19295406²).

The spelling of 10342019241801 in words is "ten trillion, three hundred forty-two billion, nineteen million, two hundred forty-one thousand, eight hundred one".