403820849961 has 27 divisors (see below), whose sum is σ = 602807997207. Its totient is φ = 260491452480.

The previous prime is 403820849959. The next prime is 403820849981. The reversal of 403820849961 is 169948028304.

The square root of 403820849961 is 635469.

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

403820849961 is a `hidden beast` number, since 40 + 38 + 20 + 8 + 499 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50442914025 + 353377935936 = 224595^2 + 594456^2 .

It is not a de Polignac number, because 403820849961 - 2¹ = 403820849959 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 403820849898 and 403820849907.

It is not an unprimeable number, because it can be changed into a prime (403820849941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59095201 + ... + 59102033.

Almost surely, 2^403820849961 is an apocalyptic number.

403820849961 is the 635469-th square number.

403820849961 is the 317735-th centered octagonal number.

It is an amenable number.

403820849961 is a deficient number, since it is larger than the sum of its proper divisors (198987147246).

403820849961 is an frugal number, since it uses more digits than its factorization.

403820849961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 403820849961 in words is "four hundred three billion, eight hundred twenty million, eight hundred forty-nine thousand, nine hundred sixty-one".