340085975040 has 576 divisors, whose sum is σ = 1364315097600. Its totient is φ = 76738461696.

The previous prime is 340085975003. The next prime is 340085975057. The reversal of 340085975040 is 40579580043.

340085975040 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 8 + 597 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50961144 + ... + 50967816.

It is an arithmetic number, because the mean of its divisors is an integer number (2368602600).

Almost surely, 2^340085975040 is an apocalyptic number.

340085975040 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 340085975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682157548800).

340085975040 is an abundant number, since it is smaller than the sum of its proper divisors (1024229122560).

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

340085975040 is a wasteful number, since it uses less digits than its factorization.

340085975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 340085975040 in words is "three hundred forty billion, eighty-five million, nine hundred seventy-five thousand, forty".