40481842401 has 243 divisors, whose sum is σ = 82186401843. Its totient is φ = 19122143040.

The previous prime is 40481842393. The next prime is 40481842469. The reversal of 40481842401 is 10424818404.

The square root of 40481842401 is 201201.

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

40481842401 is a `hidden beast` number, since 404 + 8 + 1 + 8 + 4 + 240 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5988438225 + 34493404176 = 77385^2 + 185724^2 .

It is not a de Polignac number, because 40481842401 - 2³ = 40481842393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40481842801) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 604206570 + ... + 604206636.

Almost surely, 2^40481842401 is an apocalyptic number.

40481842401 is the 201201-st square number.

40481842401 is the 100601-st centered octagonal number.

It is an amenable number.

40481842401 is an abundant number, since it is smaller than the sum of its proper divisors (41704559442).

40481842401 is a wasteful number, since it uses less digits than its factorization.

40481842401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 40481842401 by its sum of digits (36), we get a square (1457346326436 = 1207206²).

The spelling of 40481842401 in words is "forty billion, four hundred eighty-one million, eight hundred forty-two thousand, four hundred one".