40184125359264 has 384 divisors, whose sum is σ = 120212636544000. Its totient is φ = 13054917657600.

The previous prime is 40184125359241. The next prime is 40184125359271. The reversal of 40184125359264 is 46295352148104.

40184125359264 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 4 + 1 + 25 + 359 + 264 = 666.

It is a super-2 number, since 2×40184125359264² (a number of 28 digits) contains 22 as substring.

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 40184125359264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9542654119 + ... + 9542658329.

It is an arithmetic number, because the mean of its divisors is an integer number (313053741000).

Almost surely, 2^{40184125359264} 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 40184125359264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60106318272000).

40184125359264 is an abundant number, since it is smaller than the sum of its proper divisors (80028511184736).

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

40184125359264 is a wasteful number, since it uses less digits than its factorization.

40184125359264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 40184125359264 in words is "forty trillion, one hundred eighty-four billion, one hundred twenty-five million, three hundred fifty-nine thousand, two hundred sixty-four".