407538894681 has 12 divisors (see below), whose sum is σ = 603025031700. Its totient is φ = 265065947520.

The previous prime is 407538894641. The next prime is 407538894689. The reversal of 407538894681 is 186498835704.

407538894681 is a `hidden beast` number, since 4 + 0 + 7 + 538 + 8 + 94 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245203232400 + 162335662281 = 495180^2 + 402909^2 .

It is not a de Polignac number, because 407538894681 - 2²³ = 407530506073 is a prime.

It is a super-2 number, since 2×407538894681² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407538894689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552220356 + ... + 552221093.

It is an arithmetic number, because the mean of its divisors is an integer number (50252085975).

Almost surely, 2^407538894681 is an apocalyptic number.

407538894681 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

407538894681 is a deficient number, since it is larger than the sum of its proper divisors (195486137019).

407538894681 is a wasteful number, since it uses less digits than its factorization.

407538894681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104441496 (or 1104441493 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 407538894681 in words is "four hundred seven billion, five hundred thirty-eight million, eight hundred ninety-four thousand, six hundred eighty-one".