326726125440000 has 880 divisors, whose sum is σ = 1278454013760000. Its totient is φ = 73113477120000.

The previous prime is 326726125439981. The next prime is 326726125440017. The reversal of 326726125440000 is 44521627623.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×326726125440000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 273965001 + ... + 275154999.

It is an arithmetic number, because the mean of its divisors is an integer number (1452788652000).

Almost surely, 2^{326726125440000} is an apocalyptic number.

326726125440000 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 326726125440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639227006880000).

326726125440000 is an abundant number, since it is smaller than the sum of its proper divisors (951727888320000).

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

326726125440000 is a wasteful number, since it uses less digits than its factorization.

326726125440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190066 (or 1190033 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 326726125440000 in words is "three hundred twenty-six trillion, seven hundred twenty-six billion, one hundred twenty-five million, four hundred forty thousand".