334334023133040 has 640 divisors, whose sum is σ = 1393612951633920. Its totient is φ = 71919505539072.

The previous prime is 334334023133039. The next prime is 334334023133069. The reversal of 334334023133040 is 40331320433433.

334334023133040 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 34 + 0 + 2 + 313 + 304 + 0 = 666.

It is a super-2 number, since 2×334334023133040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334334023132986 and 334334023133004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5749184604 + ... + 5749242756.

It is an arithmetic number, because the mean of its divisors is an integer number (2177520236928).

Almost surely, 2^{334334023133040} is an apocalyptic number.

334334023133040 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 334334023133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696806475816960).

334334023133040 is an abundant number, since it is smaller than the sum of its proper divisors (1059278928500880).

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

334334023133040 is a wasteful number, since it uses less digits than its factorization.

334334023133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80566 (or 80554 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 334334023133040 its reverse (40331320433433), we get a palindrome (374665343566473).

The spelling of 334334023133040 in words is "three hundred thirty-four trillion, three hundred thirty-four billion, twenty-three million, one hundred thirty-three thousand, forty".