40034123168 has 96 divisors (see below), whose sum is σ = 88017334272. Its totient is φ = 17799782400.

The previous prime is 40034123167. The next prime is 40034123257. The reversal of 40034123168 is 86132143004.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40034123167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2868848 + ... + 2882768.

It is an arithmetic number, because the mean of its divisors is an integer number (916847232).

Almost surely, 2^40034123168 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 40034123168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44008667136).

40034123168 is an abundant number, since it is smaller than the sum of its proper divisors (47983211104).

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

40034123168 is a wasteful number, since it uses less digits than its factorization.

40034123168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 40034123168 in words is "forty billion, thirty-four million, one hundred twenty-three thousand, one hundred sixty-eight".