1408385164031 has 32 divisors (see below), whose sum is σ = 1509591283200. Its totient is φ = 1310051957760.

The previous prime is 1408385164003. The next prime is 1408385164049. The reversal of 1408385164031 is 1304615838041.

It is not a de Polignac number, because 1408385164031 - 2²⁶ = 1408318055167 is a prime.

It is a super-2 number, since 2×1408385164031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408385164051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674190035 + ... + 674192123.

It is an arithmetic number, because the mean of its divisors is an integer number (47174727600).

Almost surely, 2^{1408385164031} is an apocalyptic number.

1408385164031 is a deficient number, since it is larger than the sum of its proper divisors (101206119169).

1408385164031 is a wasteful number, since it uses less digits than its factorization.

1408385164031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999.

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 1408385164031 in words is "one trillion, four hundred eight billion, three hundred eighty-five million, one hundred sixty-four thousand, thirty-one".