1414262115540 has 288 divisors, whose sum is σ = 4525451513856. Its totient is φ = 357032724480.

The previous prime is 1414262115509. The next prime is 1414262115547. The reversal of 1414262115540 is 455112624141.

1414262115540 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 62 + 1 + 1 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1414262115495 and 1414262115504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414262115547) 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, 104575219 + ... + 104588741.

It is an arithmetic number, because the mean of its divisors is an integer number (15713373312).

Almost surely, 2^{1414262115540} is an apocalyptic number.

1414262115540 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 1414262115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262725756928).

1414262115540 is an abundant number, since it is smaller than the sum of its proper divisors (3111189398316).

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

1414262115540 is a wasteful number, since it uses less digits than its factorization.

1414262115540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13999 (or 13994 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 1414262115540 its reverse (455112624141), we get a palindrome (1869374739681).

The spelling of 1414262115540 in words is "one trillion, four hundred fourteen billion, two hundred sixty-two million, one hundred fifteen thousand, five hundred forty".