240330411000000 has 2352 divisors, whose sum is σ = 980681447116800. Its totient is φ = 55895961600000.

The previous prime is 240330410999989. The next prime is 240330411000011. The reversal of 240330411000000 is 114033042.

It is an interprime number because it is at equal distance from previous prime (240330410999989) and next prime (240330411000011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 136628999121 + ... + 136629000879.

Almost surely, 2^{240330411000000} is an apocalyptic number.

240330411000000 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 240330411000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490340723558400).

240330411000000 is an abundant number, since it is smaller than the sum of its proper divisors (740351036116800).

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

240330411000000 is a wasteful number, since it uses less digits than its factorization.

240330411000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 240330411000000 its reverse (114033042), we get a palindrome (240330525033042).

The spelling of 240330411000000 in words is "two hundred forty trillion, three hundred thirty billion, four hundred eleven million", and thus it is an aban number.