340160970240 has 960 divisors, whose sum is σ = 1526427302400. Its totient is φ = 67984883712.

The previous prime is 340160970203. The next prime is 340160970349. The reversal of 340160970240 is 42079061043.

340160970240 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 609 + 7 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 340160970195 and 340160970204.

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, 39831891 + ... + 39840429.

It is an arithmetic number, because the mean of its divisors is an integer number (1590028440).

Almost surely, 2^340160970240 is an apocalyptic number.

340160970240 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 340160970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763213651200).

340160970240 is an abundant number, since it is smaller than the sum of its proper divisors (1186266332160).

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

340160970240 is a wasteful number, since it uses less digits than its factorization.

340160970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 340160970240 in words is "three hundred forty billion, one hundred sixty million, nine hundred seventy thousand, two hundred forty".