230417515440 has 240 divisors, whose sum is σ = 892479931200. Its totient is φ = 52183554048.

The previous prime is 230417515411. The next prime is 230417515451. The reversal of 230417515440 is 44515714032.

230417515440 is a `hidden beast` number, since 2 + 3 + 0 + 41 + 75 + 1 + 544 + 0 = 666.

230417515440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 230417515395 and 230417515404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339646 + ... + 759074.

It is an arithmetic number, because the mean of its divisors is an integer number (3718666380).

Almost surely, 2^230417515440 is an apocalyptic number.

230417515440 is a gapful number since it is divisible by the number (20) 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 230417515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446239965600).

230417515440 is an abundant number, since it is smaller than the sum of its proper divisors (662062415760).

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

230417515440 is a wasteful number, since it uses less digits than its factorization.

230417515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419564 (or 419555 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 230417515440 in words is "two hundred thirty billion, four hundred seventeen million, five hundred fifteen thousand, four hundred forty".