1324116541440 has 2040 divisors, whose sum is σ = 6185404066608. Its totient is φ = 258956328960.

The previous prime is 1324116541417. The next prime is 1324116541547. The reversal of 1324116541440 is 441456114231.

1324116541440 is a `hidden beast` number, since 1 + 3 + 2 + 41 + 165 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2040).

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 = 1324116541395 and 1324116541404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77889208312 + ... + 77889208328.

Almost surely, 2^{1324116541440} is an apocalyptic number.

1324116541440 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 1324116541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092702033304).

1324116541440 is an abundant number, since it is smaller than the sum of its proper divisors (4861287525168).

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

1324116541440 is an frugal number, since it uses more digits than its factorization.

1324116541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1324116541440 in words is "one trillion, three hundred twenty-four billion, one hundred sixteen million, five hundred forty-one thousand, four hundred forty".