1324916490240 has 960 divisors, whose sum is σ = 5453770936320. Its totient is φ = 298899210240.

The previous prime is 1324916490223. The next prime is 1324916490257. The reversal of 1324916490240 is 420946194231.

1324916490240 is a `hidden beast` number, since 1 + 3 + 249 + 164 + 9 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1324916490223) and next prime (1324916490257).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1324916490240² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285078525 + ... + 1285079555.

It is an arithmetic number, because the mean of its divisors is an integer number (5681011392).

Almost surely, 2^{1324916490240} is an apocalyptic number.

1324916490240 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 1324916490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726885468160).

1324916490240 is an abundant number, since it is smaller than the sum of its proper divisors (4128854446080).

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

1324916490240 is an equidigital number, since it uses as much as digits as its factorization.

1324916490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1324916490240 in words is "one trillion, three hundred twenty-four billion, nine hundred sixteen million, four hundred ninety thousand, two hundred forty".