230025277440 has 1456 divisors, whose sum is σ = 990103965696. Its totient is φ = 50164531200.

The previous prime is 230025277411. The next prime is 230025277459. The reversal of 230025277440 is 44772520032.

It is a happy number.

230025277440 is a `hidden beast` number, since 23 + 0 + 0 + 2 + 527 + 74 + 40 = 666.

It is a super-2 number, since 2×230025277440² (a number of 24 digits) contains 22 as substring.

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 = 230025277395 and 230025277404.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3239792605 + ... + 3239792675.

Almost surely, 2^230025277440 is an apocalyptic number.

230025277440 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 230025277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495051982848).

230025277440 is an abundant number, since it is smaller than the sum of its proper divisors (760078688256).

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

230025277440 is an frugal number, since it uses more digits than its factorization.

230025277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

Adding to 230025277440 its reverse (44772520032), we get a palindrome (274797797472).

The spelling of 230025277440 in words is "two hundred thirty billion, twenty-five million, two hundred seventy-seven thousand, four hundred forty".