1325604722400 has 2880 divisors, whose sum is σ = 6155481024000. Its totient is φ = 276531978240.

The previous prime is 1325604722389. The next prime is 1325604722471. The reversal of 1325604722400 is 42274065231.

1325604722400 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 604 + 7 + 2 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18158968764 + ... + 18158968836.

It is an arithmetic number, because the mean of its divisors is an integer number (2137319800).

Almost surely, 2^{1325604722400} is an apocalyptic number.

1325604722400 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 1325604722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077740512000).

1325604722400 is an abundant number, since it is smaller than the sum of its proper divisors (4829876301600).

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

1325604722400 is a wasteful number, since it uses less digits than its factorization.

1325604722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 1325604722400 its reverse (42274065231), we get a palindrome (1367878787631).

The spelling of 1325604722400 in words is "one trillion, three hundred twenty-five billion, six hundred four million, seven hundred twenty-two thousand, four hundred".