1413817996500 has 2304 divisors, whose sum is σ = 6399679104000. Its totient is φ = 265453977600.

The previous prime is 1413817996499. The next prime is 1413817996523. The reversal of 1413817996500 is 56997183141.

1413817996500 is a `hidden beast` number, since 1 + 4 + 1 + 38 + 17 + 9 + 96 + 500 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2777638246 + ... + 2777638754.

It is an arithmetic number, because the mean of its divisors is an integer number (2777638500).

Almost surely, 2^{1413817996500} is an apocalyptic number.

1413817996500 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 1413817996500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199839552000).

1413817996500 is an abundant number, since it is smaller than the sum of its proper divisors (4985861107500).

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

1413817996500 is a wasteful number, since it uses less digits than its factorization.

1413817996500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1413817996500 in words is "one trillion, four hundred thirteen billion, eight hundred seventeen million, nine hundred ninety-six thousand, five hundred".