1024348434201 has 9 divisors (see below), whose sum is σ = 1479618790741. Its totient is φ = 682896931932.

The previous prime is 1024348434181. The next prime is 1024348434203.

The square root of 1024348434201 is 1012101.

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

1024348434201 is a `hidden beast` number, since 10 + 2 + 4 + 3 + 4 + 8 + 434 + 201 = 666.

1024348434201 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1024348434201 - 2¹³ = 1024348426009 is a prime.

It is a super-3 number, since 3×1024348434201³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024348434203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2867620 + ... + 3204986.

Almost surely, 2^{1024348434201} is an apocalyptic number.

1024348434201 is the 1012101-st square number.

1024348434201 is the 506051-st centered octagonal number.

It is an amenable number.

1024348434201 is a deficient number, since it is larger than the sum of its proper divisors (455270356540).

1024348434201 is an frugal number, since it uses more digits than its factorization.

1024348434201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674740 (or 337370 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Multiplying 1024348434201 by its sum of digits (36), we get a square (36876543631236 = 6072606²).

The spelling of 1024348434201 in words is "one trillion, twenty-four billion, three hundred forty-eight million, four hundred thirty-four thousand, two hundred one".