1414803911040 has 768 divisors, whose sum is σ = 5618565388800. Its totient is φ = 325388206080.

The previous prime is 1414803911023. The next prime is 1414803911047. The reversal of 1414803911040 is 401193084141.

1414803911040 is a `hidden beast` number, since 1 + 41 + 480 + 3 + 91 + 10 + 40 = 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 = 1414803910986 and 1414803911004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414803911047) 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, 67306612 + ... + 67327628.

It is an arithmetic number, because the mean of its divisors is an integer number (7315840350).

Almost surely, 2^{1414803911040} is an apocalyptic number.

1414803911040 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 1414803911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809282694400).

1414803911040 is an abundant number, since it is smaller than the sum of its proper divisors (4203761477760).

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

1414803911040 is a wasteful number, since it uses less digits than its factorization.

1414803911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21115 (or 21100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 1414803911040 its reverse (401193084141), we get a palindrome (1815996995181).

It can be divided in two parts, 141480391 and 1040, that added together give a triangular number (141481431 = T₁₆₈₂₁).

The spelling of 1414803911040 in words is "one trillion, four hundred fourteen billion, eight hundred three million, nine hundred eleven thousand, forty".