1320524805240 has 512 divisors, whose sum is σ = 4784386176000. Its totient is φ = 322735177728.

The previous prime is 1320524805227. The next prime is 1320524805269. The reversal of 1320524805240 is 425084250231.

1320524805240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 52 + 4 + 80 + 524 + 0 = 666.

It is a super-2 number, since 2×1320524805240² (a number of 25 digits) contains 22 as substring.

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 = 1320524805195 and 1320524805204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115900984 + ... + 115912376.

It is an arithmetic number, because the mean of its divisors is an integer number (9344504250).

Almost surely, 2^{1320524805240} is an apocalyptic number.

1320524805240 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 1320524805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392193088000).

1320524805240 is an abundant number, since it is smaller than the sum of its proper divisors (3463861370760).

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

1320524805240 is a wasteful number, since it uses less digits than its factorization.

1320524805240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11586 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

It can be divided in two parts, 1320524 and 805240, that added together give a square (2125764 = 1458²).

The spelling of 1320524805240 in words is "one trillion, three hundred twenty billion, five hundred twenty-four million, eight hundred five thousand, two hundred forty".