1413121331440 has 160 divisors (see below), whose sum is σ = 4044932107776. Its totient is φ = 447093457920.

The previous prime is 1413121331407. The next prime is 1413121331467. The reversal of 1413121331440 is 441331213141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1413121331399 and 1413121331408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25386679 + ... + 25442281.

Almost surely, 2^{1413121331440} is an apocalyptic number.

1413121331440 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 1413121331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022466053888).

1413121331440 is an abundant number, since it is smaller than the sum of its proper divisors (2631810776336).

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

1413121331440 is a wasteful number, since it uses less digits than its factorization.

1413121331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59127 (or 59121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1413121331440 its reverse (441331213141), we get a palindrome (1854452544581).

The spelling of 1413121331440 in words is "one trillion, four hundred thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, four hundred forty".