281474977042431 has 24 divisors (see below), whose sum is σ = 407210290996080. Its totient is φ = 187356820780800.

The previous prime is 281474977042397. The next prime is 281474977042547. The reversal of 281474977042431 is 134240779474182.

281474977042431 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 7 + 4 + 97 + 70 + 42 + 431 = 666.

It is not a de Polignac number, because 281474977042431 - 2¹⁹ = 281474976518143 is a prime.

It is a super-3 number, since 3×281474977042431³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281474977041431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51432421 + ... + 56641361.

It is an arithmetic number, because the mean of its divisors is an integer number (16967095458170).

Almost surely, 2^{281474977042431} is an apocalyptic number.

281474977042431 is a deficient number, since it is larger than the sum of its proper divisors (125735313953649).

281474977042431 is a wasteful number, since it uses less digits than its factorization.

281474977042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218327 (or 5218324 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 281474977042431 in words is "two hundred eighty-one trillion, four hundred seventy-four billion, nine hundred seventy-seven million, forty-two thousand, four hundred thirty-one".