340145543340 has 144 divisors (see below), whose sum is σ = 1054161343872. Its totient is φ = 88739025408.

The previous prime is 340145543317. The next prime is 340145543377. The reversal of 340145543340 is 43345541043.

340145543340 is a `hidden beast` number, since 3 + 40 + 1 + 45 + 543 + 34 + 0 = 666.

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 = 340145543295 and 340145543304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25009422 + ... + 25023018.

It is an arithmetic number, because the mean of its divisors is an integer number (7320564888).

Almost surely, 2^340145543340 is an apocalyptic number.

340145543340 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 340145543340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527080671936).

340145543340 is an abundant number, since it is smaller than the sum of its proper divisors (714015800532).

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

340145543340 is a wasteful number, since it uses less digits than its factorization.

340145543340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16616 (or 16611 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 340145543340 in words is "three hundred forty billion, one hundred forty-five million, five hundred forty-three thousand, three hundred forty".