40932605712384 has 1152 divisors, whose sum is σ = 131555013408000. Its totient is φ = 12692072300544.

The previous prime is 40932605712377. The next prime is 40932605712389. The reversal of 40932605712384 is 48321750623904.

40932605712384 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 2 + 60 + 571 + 2 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40932605712384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40932605712389) 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 95 ways as a sum of consecutive naturals, for example, 45129664059 + ... + 45129664965.

It is an arithmetic number, because the mean of its divisors is an integer number (114197060250).

It is a 1-persistent number, because it is pandigital, but 2⋅40932605712384 = 81865211424768 is not.

Almost surely, 2^{40932605712384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40932605712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65777506704000).

40932605712384 is an abundant number, since it is smaller than the sum of its proper divisors (90622407695616).

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

40932605712384 is an equidigital number, since it uses as much as digits as its factorization.

40932605712384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 40932605712384 in words is "forty trillion, nine hundred thirty-two billion, six hundred five million, seven hundred twelve thousand, three hundred eighty-four".