1325537742400 has 189 divisors, whose sum is σ = 3304703890579. Its totient is φ = 523307176960.

The previous prime is 1325537742359. The next prime is 1325537742437. The reversal of 1325537742400 is 42477355231.

The square root of 1325537742400 is 1151320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 508437450304 + 817100292096 = 713048^2 + 903936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4927649466 + ... + 4927649734.

Almost surely, 2^{1325537742400} is an apocalyptic number.

1325537742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1325537742400 is the 1151320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325537742400

1325537742400 is an abundant number, since it is smaller than the sum of its proper divisors (1979166148179).

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

1325537742400 is an frugal number, since it uses more digits than its factorization.

1325537742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 1325537742400 in words is "one trillion, three hundred twenty-five billion, five hundred thirty-seven million, seven hundred forty-two thousand, four hundred".