230129370240 has 768 divisors, whose sum is σ = 945049420800. Its totient is φ = 47091179520.

The previous prime is 230129370169. The next prime is 230129370269. The reversal of 230129370240 is 42073921032.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69335301 + ... + 69338619.

It is an arithmetic number, because the mean of its divisors is an integer number (1230533100).

Almost surely, 2^230129370240 is an apocalyptic number.

230129370240 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 230129370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472524710400).

230129370240 is an abundant number, since it is smaller than the sum of its proper divisors (714920050560).

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

230129370240 is a wasteful number, since it uses less digits than its factorization.

230129370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 230129370240 in words is "two hundred thirty billion, one hundred twenty-nine million, three hundred seventy thousand, two hundred forty".