40168584113168 has 320 divisors, whose sum is σ = 93921422358528. Its totient is φ = 16284451921920.

The previous prime is 40168584113143. The next prime is 40168584113191. The reversal of 40168584113168 is 86131148586104.

It is a super-2 number, since 2×40168584113168² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14517014921 + ... + 14517017687.

Almost surely, 2^{40168584113168} 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 40168584113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46960711179264).

40168584113168 is an abundant number, since it is smaller than the sum of its proper divisors (53752838245360).

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

40168584113168 is a wasteful number, since it uses less digits than its factorization.

40168584113168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 56.

The spelling of 40168584113168 in words is "forty trillion, one hundred sixty-eight billion, five hundred eighty-four million, one hundred thirteen thousand, one hundred sixty-eight".