1414112124040 has 256 divisors, whose sum is σ = 4205871060480. Its totient is φ = 414275420160.

The previous prime is 1414112124031. The next prime is 1414112124071. The reversal of 1414112124040 is 404212114141.

It is a junction number, because it is equal to n+sod(n) for n = 1414112123996 and 1414112124014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39618682 + ... + 39654358.

It is an arithmetic number, because the mean of its divisors is an integer number (16429183830).

Almost surely, 2^{1414112124040} is an apocalyptic number.

1414112124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414112124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102935530240).

1414112124040 is an abundant number, since it is smaller than the sum of its proper divisors (2791758936440).

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

1414112124040 is a wasteful number, since it uses less digits than its factorization.

1414112124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36480 (or 36476 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1414112124040 its reverse (404212114141), we get a palindrome (1818324238181).

The spelling of 1414112124040 in words is "one trillion, four hundred fourteen billion, one hundred twelve million, one hundred twenty-four thousand, forty".