230740261228800 has 648 divisors, whose sum is σ = 868626283630560. Its totient is φ = 58274861875200.

The previous prime is 230740261228793. The next prime is 230740261228811. The reversal of 230740261228800 is 8822162047032.

230740261228800 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 4 + 0 + 2 + 612 + 28 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×230740261228800³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3881807080 + ... + 3881866520.

Almost surely, 2^{230740261228800} is an apocalyptic number.

230740261228800 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 230740261228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434313141815280).

230740261228800 is an abundant number, since it is smaller than the sum of its proper divisors (637886022401760).

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

230740261228800 is a wasteful number, since it uses less digits than its factorization.

230740261228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63039 (or 63017 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 230740261228800 in words is "two hundred thirty trillion, seven hundred forty billion, two hundred sixty-one million, two hundred twenty-eight thousand, eight hundred".