340311738648960 has 1024 divisors, whose sum is σ = 1346810644166400. Its totient is φ = 80664566169600.

The previous prime is 340311738648929. The next prime is 340311738649007. The reversal of 340311738648960 is 69846837113043.

It is a happy number.

340311738648960 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 1 + 1 + 73 + 86 + 489 + 6 + 0 = 666.

It is a super-2 number, since 2×340311738648960² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 806021910 + ... + 806444010.

Almost surely, 2^{340311738648960} is an apocalyptic number.

340311738648960 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 340311738648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673405322083200).

340311738648960 is an abundant number, since it is smaller than the sum of its proper divisors (1006498905517440).

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

340311738648960 is a wasteful number, since it uses less digits than its factorization.

340311738648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422276 (or 422258 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 340311738648960 in words is "three hundred forty trillion, three hundred eleven billion, seven hundred thirty-eight million, six hundred forty-eight thousand, nine hundred sixty".