1413124141440 has 256 divisors, whose sum is σ = 4976024140800. Its totient is φ = 338238750720.

The previous prime is 1413124141417. The next prime is 1413124141463. The reversal of 1413124141440 is 441414213141.

It is an interprime number because it is at equal distance from previous prime (1413124141417) and next prime (1413124141463).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1413124141398 and 1413124141407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245004 + ... + 2091956.

It is an arithmetic number, because the mean of its divisors is an integer number (19437594300).

Almost surely, 2^{1413124141440} is an apocalyptic number.

1413124141440 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 1413124141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488012070400).

1413124141440 is an abundant number, since it is smaller than the sum of its proper divisors (3562899999360).

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

1413124141440 is a wasteful number, since it uses less digits than its factorization.

1413124141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847065 (or 847053 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1413124141440 its reverse (441414213141), we get a palindrome (1854538354581).

The spelling of 1413124141440 in words is "one trillion, four hundred thirteen billion, one hundred twenty-four million, one hundred forty-one thousand, four hundred forty".