40575065199840 has 144 divisors (see below), whose sum is σ = 145749905355600. Its totient is φ = 10250542780416.

The previous prime is 40575065199817. The next prime is 40575065199863. The reversal of 40575065199840 is 4899156057504.

40575065199840 is a `hidden beast` number, since 4 + 0 + 5 + 75 + 0 + 6 + 519 + 9 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40575065199817) and next prime (40575065199863).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741476025 + ... + 741530744.

It is an arithmetic number, because the mean of its divisors is an integer number (1012152120525).

Almost surely, 2^{40575065199840} is an apocalyptic number.

40575065199840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40575065199840 is an abundant number, since it is smaller than the sum of its proper divisors (105174840155760).

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

40575065199840 is a wasteful number, since it uses less digits than its factorization.

40575065199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483006809 (or 1483006798 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 40575065199840 in words is "forty trillion, five hundred seventy-five billion, sixty-five million, one hundred ninety-nine thousand, eight hundred forty".