40168955667456 has 528 divisors, whose sum is σ = 145364749590528. Its totient is φ = 10378834329600.

The previous prime is 40168955667403. The next prime is 40168955667469. The reversal of 40168955667456 is 65476655986104.

It is a happy number.

40168955667456 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 8 + 9 + 5 + 566 + 7 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×40168955667456³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 135391531 + ... + 135687893.

Almost surely, 2^{40168955667456} 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 40168955667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72682374795264).

40168955667456 is an abundant number, since it is smaller than the sum of its proper divisors (105195793923072).

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

40168955667456 is a wasteful number, since it uses less digits than its factorization.

40168955667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296598 (or 296577 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 40168955667456 in words is "forty trillion, one hundred sixty-eight billion, nine hundred fifty-five million, six hundred sixty-seven thousand, four hundred fifty-six".