340195047120 has 640 divisors, whose sum is σ = 1311387494400. Its totient is φ = 80555876352.

The previous prime is 340195047109. The next prime is 340195047131. The reversal of 340195047120 is 21740591043.

340195047120 is a `hidden beast` number, since 3 + 401 + 95 + 0 + 47 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (340195047109) and next prime (340195047131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197442579 + ... + 197444301.

It is an arithmetic number, because the mean of its divisors is an integer number (2049042960).

Almost surely, 2^340195047120 is an apocalyptic number.

340195047120 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 340195047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655693747200).

340195047120 is an abundant number, since it is smaller than the sum of its proper divisors (971192447280).

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

340195047120 is a wasteful number, since it uses less digits than its factorization.

340195047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 340195047120 in words is "three hundred forty billion, one hundred ninety-five million, forty-seven thousand, one hundred twenty".