40707521064000 has 2016 divisors, whose sum is σ = 175627467306720. Its totient is φ = 8966909952000.

The previous prime is 40707521063927. The next prime is 40707521064121. The reversal of 40707521064000 is 46012570704.

40707521064000 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 7 + 5 + 2 + 1 + 0 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14514088389696 + 26193432674304 = 3809736^2 + 5117952^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14228422570 + ... + 14228425430.

Almost surely, 2^{40707521064000} is an apocalyptic number.

40707521064000 is a gapful number since it is divisible by the number (40) 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 40707521064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87813733653360).

40707521064000 is an abundant number, since it is smaller than the sum of its proper divisors (134919946242720).

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

40707521064000 is a wasteful number, since it uses less digits than its factorization.

40707521064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 40707521064000 in words is "forty trillion, seven hundred seven billion, five hundred twenty-one million, sixty-four thousand".