326141035234560 has 1152 divisors, whose sum is σ = 1442014596664320. Its totient is φ = 68812120719360.

The previous prime is 326141035234523. The next prime is 326141035234579. The reversal of 326141035234560 is 65432530141623.

326141035234560 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 4 + 1 + 0 + 3 + 52 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 254101620 + ... + 255381900.

Almost surely, 2^{326141035234560} is an apocalyptic number.

326141035234560 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 326141035234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721007298332160).

326141035234560 is an abundant number, since it is smaller than the sum of its proper divisors (1115873561429760).

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

326141035234560 is an equidigital number, since it uses as much as digits as its factorization.

326141035234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280343 (or 1280311 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 326141035234560 in words is "three hundred twenty-six trillion, one hundred forty-one billion, thirty-five million, two hundred thirty-four thousand, five hundred sixty".