1414410132042 has 80 divisors (see below), whose sum is σ = 3259008621792. Its totient is φ = 458160403680.

The previous prime is 1414410132029. The next prime is 1414410132073. The reversal of 1414410132042 is 2402310144141.

1414410132042 is a `hidden beast` number, since 1 + 4 + 1 + 441 + 0 + 13 + 204 + 2 = 666.

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 = 1414410131997 and 1414410132015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4715653 + ... + 5006615.

Almost surely, 2^{1414410132042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414410132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629504310896).

1414410132042 is an abundant number, since it is smaller than the sum of its proper divisors (1844598489750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1414410132042 is a wasteful number, since it uses less digits than its factorization.

1414410132042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291825 (or 291816 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1414410132042 its reverse (2402310144141), we get a palindrome (3816720276183).

The spelling of 1414410132042 in words is "one trillion, four hundred fourteen billion, four hundred ten million, one hundred thirty-two thousand, forty-two".