340047444240 has 360 divisors, whose sum is σ = 1329676335000. Its totient is φ = 77652836352.

The previous prime is 340047444211. The next prime is 340047444251. The reversal of 340047444240 is 42444740043.

340047444240 is a `hidden beast` number, since 3 + 400 + 4 + 7 + 4 + 4 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24437192976 + 315610251264 = 156324^2 + 561792^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 340047444195 and 340047444204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44060862 + ... + 44068578.

It is an arithmetic number, because the mean of its divisors is an integer number (3693545375).

Almost surely, 2^340047444240 is an apocalyptic number.

340047444240 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 340047444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664838167500).

340047444240 is an abundant number, since it is smaller than the sum of its proper divisors (989628890760).

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

340047444240 is a wasteful number, since it uses less digits than its factorization.

340047444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

The spelling of 340047444240 in words is "three hundred forty billion, forty-seven million, four hundred forty-four thousand, two hundred forty".