340555223442240 has 672 divisors, whose sum is σ = 1214608214237184. Its totient is φ = 87522558013440.

The previous prime is 340555223442149. The next prime is 340555223442289. The reversal of 340555223442240 is 42244322555043.

340555223442240 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 552 + 2 + 34 + 4 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31442633625 + ... + 31442644455.

Almost surely, 2^{340555223442240} is an apocalyptic number.

340555223442240 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 340555223442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607304107118592).

340555223442240 is an abundant number, since it is smaller than the sum of its proper divisors (874052990794944).

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

340555223442240 is a wasteful number, since it uses less digits than its factorization.

340555223442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14435 (or 14422 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 340555223442240 its reverse (42244322555043), we get a palindrome (382799545997283).

The spelling of 340555223442240 in words is "three hundred forty trillion, five hundred fifty-five billion, two hundred twenty-three million, four hundred forty-two thousand, two hundred forty".