1325350938240 has 768 divisors, whose sum is σ = 5369956300800. Its totient is φ = 294888407040.

The previous prime is 1325350938227. The next prime is 1325350938253. The reversal of 1325350938240 is 428390535231.

1325350938240 is a `hidden beast` number, since 1 + 3 + 2 + 535 + 0 + 93 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1325350938227) and next prime (1325350938253).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1426642096 + ... + 1426643024.

It is an arithmetic number, because the mean of its divisors is an integer number (6992130600).

Almost surely, 2^{1325350938240} is an apocalyptic number.

1325350938240 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 1325350938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684978150400).

1325350938240 is an abundant number, since it is smaller than the sum of its proper divisors (4044605362560).

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

1325350938240 is a wasteful number, since it uses less digits than its factorization.

1325350938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1325350938240 in words is "one trillion, three hundred twenty-five billion, three hundred fifty million, nine hundred thirty-eight thousand, two hundred forty".