340123863490560 has 1792 divisors, whose sum is σ = 1314776170137600. Its totient is φ = 83102785339392.

The previous prime is 340123863490559. The next prime is 340123863490571. The reversal of 340123863490560 is 65094368321043.

340123863490560 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 38 + 6 + 3 + 49 + 0 + 560 = 666.

It is a super-2 number, since 2×340123863490560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 340123863490497 and 340123863490506.

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, 108423289312 + ... + 108423292448.

Almost surely, 2^{340123863490560} is an apocalyptic number.

340123863490560 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 340123863490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657388085068800).

340123863490560 is an abundant number, since it is smaller than the sum of its proper divisors (974652306647040).

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

340123863490560 is a wasteful number, since it uses less digits than its factorization.

340123863490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 340123863490560 in words is "three hundred forty trillion, one hundred twenty-three billion, eight hundred sixty-three million, four hundred ninety thousand, five hundred sixty".