325143432505440 has 288 divisors, whose sum is σ = 1126417296382560. Its totient is φ = 85387690156032.

The previous prime is 325143432505433. The next prime is 325143432505469. The reversal of 325143432505440 is 44505234341523.

325143432505440 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 4 + 343 + 250 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 357390012 + ... + 358298628.

It is an arithmetic number, because the mean of its divisors is an integer number (3911171167995).

Almost surely, 2^{325143432505440} is an apocalyptic number.

325143432505440 is a gapful number since it is divisible by the number (30) 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 325143432505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563208648191280).

325143432505440 is an abundant number, since it is smaller than the sum of its proper divisors (801273863877120).

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

325143432505440 is a wasteful number, since it uses less digits than its factorization.

325143432505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912414 (or 912403 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 325143432505440 its reverse (44505234341523), we get a palindrome (369648666846963).

The spelling of 325143432505440 in words is "three hundred twenty-five trillion, one hundred forty-three billion, four hundred thirty-two million, five hundred five thousand, four hundred forty".