340724442240 has 1152 divisors, whose sum is σ = 1503936046080. Its totient is φ = 69526978560.

The previous prime is 340724442211. The next prime is 340724442251. The reversal of 340724442240 is 42244427043.

340724442240 is a `hidden beast` number, since 3 + 407 + 2 + 4 + 4 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 340724442195 and 340724442204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211235674 + ... + 211237286.

It is an arithmetic number, because the mean of its divisors is an integer number (1305500040).

Almost surely, 2^340724442240 is an apocalyptic number.

340724442240 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 340724442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751968023040).

340724442240 is an abundant number, since it is smaller than the sum of its proper divisors (1163211603840).

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

340724442240 is a wasteful number, since it uses less digits than its factorization.

340724442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1674 counting only the distinct ones).

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

Adding to 340724442240 its reverse (42244427043), we get a palindrome (382968869283).

The spelling of 340724442240 in words is "three hundred forty billion, seven hundred twenty-four million, four hundred forty-two thousand, two hundred forty".