334157389016640 has 1344 divisors, whose sum is σ = 1292910199308288. Its totient is φ = 72818926387200.

The previous prime is 334157389016639. The next prime is 334157389016651. The reversal of 334157389016640 is 46610983751433.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×334157389016640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 158293409185 + ... + 158293411295.

Almost surely, 2^{334157389016640} is an apocalyptic number.

334157389016640 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 334157389016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646455099654144).

334157389016640 is an abundant number, since it is smaller than the sum of its proper divisors (958752810291648).

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

334157389016640 is a wasteful number, since it uses less digits than its factorization.

334157389016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 334157389016640 in words is "three hundred thirty-four trillion, one hundred fifty-seven billion, three hundred eighty-nine million, sixteen thousand, six hundred forty".