4067408868831 has 48 divisors (see below), whose sum is σ = 7334851430400. Its totient is φ = 2110056816960.

The previous prime is 4067408868823. The next prime is 4067408868833. The reversal of 4067408868831 is 1388688047604.

4067408868831 is a `hidden beast` number, since 40 + 6 + 7 + 408 + 86 + 88 + 31 = 666.

It is not a de Polignac number, because 4067408868831 - 2³ = 4067408868823 is a prime.

It is a super-2 number, since 2×4067408868831² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067408868833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495631 + ... + 4511568.

It is an arithmetic number, because the mean of its divisors is an integer number (152809404800).

Almost surely, 2^{4067408868831} is an apocalyptic number.

4067408868831 is a deficient number, since it is larger than the sum of its proper divisors (3267442561569).

4067408868831 is a wasteful number, since it uses less digits than its factorization.

4067408868831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007956 (or 8007953 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 4067408868831 in words is "four trillion, sixty-seven billion, four hundred eight million, eight hundred sixty-eight thousand, eight hundred thirty-one".