4128946784361 has 135 divisors (see below), whose sum is σ = 7285405949367. Its totient is φ = 2253060532800.

The previous prime is 4128946784267. The next prime is 4128946784393. The reversal of 4128946784361 is 1634876498214.

The square root of 4128946784361 is 2031981.

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

4128946784361 is a `hidden beast` number, since 4 + 12 + 89 + 46 + 78 + 436 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3470511910761 + 658434873600 = 1862931^2 + 811440^2 .

It is not a de Polignac number, because 4128946784361 - 2¹³ = 4128946776169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4128946784161) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6870127461 + ... + 6870128061.

Almost surely, 2^{4128946784361} is an apocalyptic number.

4128946784361 is the 2031981-st square number.

4128946784361 is the 1015991-st centered octagonal number.

It is an amenable number.

4128946784361 is a deficient number, since it is larger than the sum of its proper divisors (3156459165006).

4128946784361 is an frugal number, since it uses more digits than its factorization.

4128946784361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 634 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 4128946784361 in words is "four trillion, one hundred twenty-eight billion, nine hundred forty-six million, seven hundred eighty-four thousand, three hundred sixty-one".