40006981696000 has 320 divisors, whose sum is σ = 108913907456640. Its totient is φ = 14536642560000.

The previous prime is 40006981695983. The next prime is 40006981696013. The reversal of 40006981696000 is 69618960004.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929962491 + ... + 930005509.

It is an arithmetic number, because the mean of its divisors is an integer number (340355960802).

Almost surely, 2^{40006981696000} is an apocalyptic number.

40006981696000 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 40006981696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54456953728320).

40006981696000 is an abundant number, since it is smaller than the sum of its proper divisors (68906925760640).

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

40006981696000 is a wasteful number, since it uses less digits than its factorization.

40006981696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44384 (or 44358 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 40006981696000 in words is "forty trillion, six billion, nine hundred eighty-one million, six hundred ninety-six thousand".