40996342970880 has 1280 divisors, whose sum is σ = 151274989780992. Its totient is φ = 9380560896000.

The previous prime is 40996342970833. The next prime is 40996342970881. The reversal of 40996342970880 is 8807924369904.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (40996342970881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 18036225424 + ... + 18036227696.

Almost surely, 2^{40996342970880} is an apocalyptic number.

40996342970880 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 40996342970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75637494890496).

40996342970880 is an abundant number, since it is smaller than the sum of its proper divisors (110278646810112).

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

40996342970880 is a wasteful number, since it uses less digits than its factorization.

40996342970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 40996342970880 in words is "forty trillion, nine hundred ninety-six billion, three hundred forty-two million, nine hundred seventy thousand, eight hundred eighty".