1325872074240 has 1320 divisors, whose sum is σ = 5577962619240. Its totient is φ = 301363421184.

The previous prime is 1325872074211. The next prime is 1325872074343. The reversal of 1325872074240 is 424702785231.

1325872074240 is a `hidden beast` number, since 1 + 3 + 2 + 587 + 20 + 7 + 4 + 2 + 40 = 666.

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 131 ways as a sum of consecutive naturals, for example, 7407106471 + ... + 7407106649.

It is an arithmetic number, because the mean of its divisors is an integer number (4225729257).

Almost surely, 2^{1325872074240} is an apocalyptic number.

1325872074240 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 1325872074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788981309620).

1325872074240 is an abundant number, since it is smaller than the sum of its proper divisors (4252090545000).

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

1325872074240 is an frugal number, since it uses more digits than its factorization.

1325872074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 1325872074240 in words is "one trillion, three hundred twenty-five billion, eight hundred seventy-two million, seventy-four thousand, two hundred forty".