230498231040 has 1152 divisors, whose sum is σ = 1047789066240. Its totient is φ = 46581350400.

The previous prime is 230498231021. The next prime is 230498231053. The reversal of 230498231040 is 40132894032.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 230498230986 and 230498231004.

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 127 ways as a sum of consecutive naturals, for example, 98460270 + ... + 98462610.

It is an arithmetic number, because the mean of its divisors is an integer number (909539120).

Almost surely, 2^230498231040 is an apocalyptic number.

230498231040 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 230498231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523894533120).

230498231040 is an abundant number, since it is smaller than the sum of its proper divisors (817290835200).

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

230498231040 is a wasteful number, since it uses less digits than its factorization.

230498231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 230498231040 in words is "two hundred thirty billion, four hundred ninety-eight million, two hundred thirty-one thousand, forty".