40352467082004 has 192 divisors, whose sum is σ = 131698551828480. Its totient is φ = 10379401223040.

The previous prime is 40352467081931. The next prime is 40352467082047. The reversal of 40352467082004 is 40028076425304.

It is a happy number.

40352467082004 is a `hidden beast` number, since 40 + 3 + 524 + 6 + 7 + 0 + 82 + 0 + 0 + 4 = 666.

40352467082004 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 63 ways as a sum of consecutive naturals, for example, 22698739 + ... + 24411834.

It is an arithmetic number, because the mean of its divisors is an integer number (685929957440).

Almost surely, 2^{40352467082004} is an apocalyptic number.

40352467082004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40352467082004 is an abundant number, since it is smaller than the sum of its proper divisors (91346084746476).

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

40352467082004 is a wasteful number, since it uses less digits than its factorization.

40352467082004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47110707 (or 47110699 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 40352467082004 in words is "forty trillion, three hundred fifty-two billion, four hundred sixty-seven million, eighty-two thousand, four".