326125265040 has 880 divisors, whose sum is σ = 1252595114496. Its totient is φ = 78606028800.

The previous prime is 326125265033. The next prime is 326125265051. The reversal of 326125265040 is 40562521623.

326125265040 is a `hidden beast` number, since 3 + 2 + 6 + 125 + 26 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 326125264986 and 326125265004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2489505775 + ... + 2489505905.

Almost surely, 2^326125265040 is an apocalyptic number.

326125265040 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 326125265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626297557248).

326125265040 is an abundant number, since it is smaller than the sum of its proper divisors (926469849456).

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

326125265040 is a wasteful number, since it uses less digits than its factorization.

326125265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 326125265040 its reverse (40562521623), we get a palindrome (366687786663).

The spelling of 326125265040 in words is "three hundred twenty-six billion, one hundred twenty-five million, two hundred sixty-five thousand, forty".