1004442923961 has 27 divisors (see below), whose sum is σ = 1491299452461. Its totient is φ = 651458385504.

The previous prime is 1004442923951. The next prime is 1004442923989. The reversal of 1004442923961 is 1693292444001.

The square root of 1004442923961 is 1002219.

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

1004442923961 is a `hidden beast` number, since 100 + 44 + 429 + 23 + 9 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 871468925625 + 132973998336 = 933525^2 + 364656^2 .

It is not a de Polignac number, because 1004442923961 - 2¹³ = 1004442915769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004442923951) 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, 111241795 + ... + 111250823.

Almost surely, 2^{1004442923961} is an apocalyptic number.

1004442923961 is the 1002219-th square number.

1004442923961 is the 501110-th centered octagonal number.

It is an amenable number.

1004442923961 is a deficient number, since it is larger than the sum of its proper divisors (486856528500).

1004442923961 is an frugal number, since it uses more digits than its factorization.

1004442923961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18138 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1004442923961 in words is "one trillion, four billion, four hundred forty-two million, nine hundred twenty-three thousand, nine hundred sixty-one".