3230451505440 has 288 divisors, whose sum is σ = 11535301290240. Its totient is φ = 821700937728.

The previous prime is 3230451505433. The next prime is 3230451505459. The reversal of 3230451505440 is 445051540323.

3230451505440 is a `hidden beast` number, since 3 + 23 + 0 + 45 + 1 + 50 + 544 + 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3230451505395 and 3230451505404.

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 47 ways as a sum of consecutive naturals, for example, 11754234 + ... + 12025926.

It is an arithmetic number, because the mean of its divisors is an integer number (40053129480).

Almost surely, 2^{3230451505440} is an apocalyptic number.

3230451505440 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 3230451505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767650645120).

3230451505440 is an abundant number, since it is smaller than the sum of its proper divisors (8304849784800).

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

3230451505440 is a wasteful number, since it uses less digits than its factorization.

3230451505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272096 (or 272085 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 3230451505440 in words is "three trillion, two hundred thirty billion, four hundred fifty-one million, five hundred five thousand, four hundred forty".