1325135449440 has 576 divisors, whose sum is σ = 5112021196800. Its totient is φ = 320357790720.

The previous prime is 1325135449433. The next prime is 1325135449489. The reversal of 1325135449440 is 449445315231.

It is a happy number.

1325135449440 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 13 + 544 + 94 + 4 + 0 = 666.

It is a super-3 number, since 3×1325135449440³ (a number of 37 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 200198451 + ... + 200205069.

It is an arithmetic number, because the mean of its divisors is an integer number (8875036800).

Almost surely, 2^{1325135449440} is an apocalyptic number.

1325135449440 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 1325135449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556010598400).

1325135449440 is an abundant number, since it is smaller than the sum of its proper divisors (3786885747360).

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

1325135449440 is a wasteful number, since it uses less digits than its factorization.

1325135449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1325135449440 in words is "one trillion, three hundred twenty-five billion, one hundred thirty-five million, four hundred forty-nine thousand, four hundred forty".