340233515040 has 192 divisors, whose sum is σ = 1076861036160. Its totient is φ = 90296156160.

The previous prime is 340233515023. The next prime is 340233515047. The reversal of 340233515040 is 40515332043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340233514989 and 340233515007.

It is not an unprimeable number, because it can be changed into a prime (340233515047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98416992 + ... + 98420448.

It is an arithmetic number, because the mean of its divisors is an integer number (5608651230).

Almost surely, 2^340233515040 is an apocalyptic number.

340233515040 is a gapful number since it is divisible by the number (30) 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 340233515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538430518080).

340233515040 is an abundant number, since it is smaller than the sum of its proper divisors (736627521120).

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

340233515040 is a wasteful number, since it uses less digits than its factorization.

340233515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 340233515040 its reverse (40515332043), we get a palindrome (380748847083).

The spelling of 340233515040 in words is "three hundred forty billion, two hundred thirty-three million, five hundred fifteen thousand, forty".