1412006144031 has 96 divisors (see below), whose sum is σ = 2579490567360. Its totient is φ = 758525644800.

The previous prime is 1412006143993. The next prime is 1412006144033. The reversal of 1412006144031 is 1304416002141.

1412006144031 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 0 + 614 + 40 + 3 + 1 = 666.

It is not a de Polignac number, because 1412006144031 - 2⁹ = 1412006143519 is a prime.

It is a super-2 number, since 2×1412006144031² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1412006143986 and 1412006144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412006144033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19778941 + ... + 19850201.

It is an arithmetic number, because the mean of its divisors is an integer number (26869693410).

Almost surely, 2^{1412006144031} is an apocalyptic number.

1412006144031 is a deficient number, since it is larger than the sum of its proper divisors (1167484423329).

1412006144031 is a wasteful number, since it uses less digits than its factorization.

1412006144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72182 (or 72169 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1412006144031 in words is "one trillion, four hundred twelve billion, six million, one hundred forty-four thousand, thirty-one".