325462026240 has 1536 divisors, whose sum is σ = 1352584396800. Its totient is φ = 73574645760.

The previous prime is 325462026221. The next prime is 325462026259. The reversal of 325462026240 is 42620264523.

325462026240 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 6 + 20 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (325462026221) and next prime (325462026259).

It is a tau number, because it is divible by the number of its divisors (1536).

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 = 325462026195 and 325462026204.

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, 2562693057 + ... + 2562693183.

It is an arithmetic number, because the mean of its divisors is an integer number (880588800).

Almost surely, 2^325462026240 is an apocalyptic number.

325462026240 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 325462026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676292198400).

325462026240 is an abundant number, since it is smaller than the sum of its proper divisors (1027122370560).

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

325462026240 is a wasteful number, since it uses less digits than its factorization.

325462026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 325462026240 in words is "three hundred twenty-five billion, four hundred sixty-two million, twenty-six thousand, two hundred forty".