40842677568000 has 3840 divisors, whose sum is σ = 184433681203200. Its totient is φ = 7911751680000.

The previous prime is 40842677567983. The next prime is 40842677568023. The reversal of 40842677568000 is 86577624804.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×40842677568000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93035711781 + ... + 93035712219.

It is an arithmetic number, because the mean of its divisors is an integer number (48029604480).

Almost surely, 2^{40842677568000} is an apocalyptic number.

40842677568000 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 40842677568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92216840601600).

40842677568000 is an abundant number, since it is smaller than the sum of its proper divisors (143591003635200).

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

40842677568000 is a wasteful number, since it uses less digits than its factorization.

40842677568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 40842677568000 in words is "forty trillion, eight hundred forty-two billion, six hundred seventy-seven million, five hundred sixty-eight thousand".