40065848823000 has 1024 divisors, whose sum is σ = 172376163348480. Its totient is φ = 7477235712000.

The previous prime is 40065848822977. The next prime is 40065848823041. The reversal of 40065848823000 is 32884856004.

40065848823000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110930704 + ... + 111291296.

It is an arithmetic number, because the mean of its divisors is an integer number (168336097020).

Almost surely, 2^{40065848823000} is an apocalyptic number.

40065848823000 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 40065848823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86188081674240).

40065848823000 is an abundant number, since it is smaller than the sum of its proper divisors (132310314525480).

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

40065848823000 is a wasteful number, since it uses less digits than its factorization.

40065848823000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360685 (or 360671 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 40065848823000 in words is "forty trillion, sixty-five billion, eight hundred forty-eight million, eight hundred twenty-three thousand".