230429321244720 has 1600 divisors, whose sum is σ = 940016261775360. Its totient is φ = 51807419596800.

The previous prime is 230429321244611. The next prime is 230429321244743. The reversal of 230429321244720 is 27442123924032.

230429321244720 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 29 + 32 + 124 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 13446295992 + ... + 13446313128.

Almost surely, 2^{230429321244720} is an apocalyptic number.

230429321244720 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 230429321244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470008130887680).

230429321244720 is an abundant number, since it is smaller than the sum of its proper divisors (709586940530640).

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

230429321244720 is a wasteful number, since it uses less digits than its factorization.

230429321244720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17496 (or 17481 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 230429321244720 in words is "two hundred thirty trillion, four hundred twenty-nine billion, three hundred twenty-one million, two hundred forty-four thousand, seven hundred twenty".