1325355331040 has 384 divisors, whose sum is σ = 3482366307840. Its totient is φ = 473680576512.

The previous prime is 1325355331033. The next prime is 1325355331051. The reversal of 1325355331040 is 401335535231.

It is a happy number.

It is a super-3 number, since 3×1325355331040³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3754547504 + ... + 3754547856.

It is an arithmetic number, because the mean of its divisors is an integer number (9068662260).

Almost surely, 2^{1325355331040} is an apocalyptic number.

1325355331040 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 1325355331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741183153920).

1325355331040 is an abundant number, since it is smaller than the sum of its proper divisors (2157010976800).

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

1325355331040 is a wasteful number, since it uses less digits than its factorization.

1325355331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 1325355331040 in words is "one trillion, three hundred twenty-five billion, three hundred fifty-five million, three hundred thirty-one thousand, forty".