1413981204480 has 1040 divisors, whose sum is σ = 5504709782880. Its totient is φ = 345131974656.

The previous prime is 1413981204451. The next prime is 1413981204497. The reversal of 1413981204480 is 844021893141.

1413981204480 is a `hidden beast` number, since 1 + 41 + 3 + 9 + 8 + 120 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3730820931 + ... + 3730821309.

Almost surely, 2^{1413981204480} is an apocalyptic number.

1413981204480 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 1413981204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752354891440).

1413981204480 is an abundant number, since it is smaller than the sum of its proper divisors (4090728578400).

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

1413981204480 is a wasteful number, since it uses less digits than its factorization.

1413981204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1413981204480 in words is "one trillion, four hundred thirteen billion, nine hundred eighty-one million, two hundred four thousand, four hundred eighty".