40164053467194 has 128 divisors (see below), whose sum is σ = 92520769536000. Its totient is φ = 12901642545600.

The previous prime is 40164053467147. The next prime is 40164053467199. The reversal of 40164053467194 is 49176435046104.

It is a happy number.

40164053467194 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 40 + 53 + 467 + 1 + 94 = 666.

It is a super-2 number, since 2×40164053467194² (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 40164053467194.

It is not an unprimeable number, because it can be changed into a prime (40164053467199) 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 63 ways as a sum of consecutive naturals, for example, 530467812 + ... + 530543520.

It is an arithmetic number, because the mean of its divisors is an integer number (722818512000).

Almost surely, 2^{40164053467194} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40164053467194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46260384768000).

40164053467194 is an abundant number, since it is smaller than the sum of its proper divisors (52356716068806).

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

40164053467194 is a wasteful number, since it uses less digits than its factorization.

40164053467194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77081 (or 77075 counting only the distinct ones).

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

The spelling of 40164053467194 in words is "forty trillion, one hundred sixty-four billion, fifty-three million, four hundred sixty-seven thousand, one hundred ninety-four".