334385126400000 has 1344 divisors, whose sum is σ = 1241700729192000. Its totient is φ = 79465021440000.

The previous prime is 334385126399981. The next prime is 334385126400001. The reversal of 334385126400000 is 4621583433.

It is a super-2 number, since 2×334385126400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334385126400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28953594226 + ... + 28953605774.

It is an arithmetic number, because the mean of its divisors is an integer number (923884471125).

Almost surely, 2^{334385126400000} is an apocalyptic number.

334385126400000 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 334385126400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620850364596000).

334385126400000 is an abundant number, since it is smaller than the sum of its proper divisors (907315602792000).

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

334385126400000 is an equidigital number, since it uses as much as digits as its factorization.

334385126400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11645 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 334385126400000 its reverse (4621583433), we get a palindrome (334389747983433).

The spelling of 334385126400000 in words is "three hundred thirty-four trillion, three hundred eighty-five billion, one hundred twenty-six million, four hundred thousand".