300030400003340 has 288 divisors, whose sum is σ = 693432873000000. Its totient is φ = 108937729032192.

The previous prime is 300030400003337. The next prime is 300030400003351. The reversal of 300030400003340 is 43300004030003.

It is a happy number.

It is a super-2 number, since 2×300030400003340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15900695426 + ... + 15900714294.

It is an arithmetic number, because the mean of its divisors is an integer number (2407753031250).

Almost surely, 2^{300030400003340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300030400003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346716436500000).

300030400003340 is an abundant number, since it is smaller than the sum of its proper divisors (393402472996660).

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

300030400003340 is a wasteful number, since it uses less digits than its factorization.

300030400003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19597 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 300030400003340 its reverse (43300004030003), we get a palindrome (343330404033343).

The spelling of 300030400003340 in words is "three hundred trillion, thirty billion, four hundred million, three thousand, three hundred forty".