40168846632096 has 480 divisors, whose sum is σ = 145437531402240. Its totient is φ = 10591064285184.

The previous prime is 40168846632071. The next prime is 40168846632097. The reversal of 40168846632096 is 69023664886104.

40168846632096 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 88 + 466 + 3 + 2 + 0 + 96 = 666.

It is a super-2 number, since 2×40168846632096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40168846632097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 935682760 + ... + 935725688.

It is an arithmetic number, because the mean of its divisors is an integer number (302994857088).

Almost surely, 2^{40168846632096} 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 40168846632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72718765701120).

40168846632096 is an abundant number, since it is smaller than the sum of its proper divisors (105268684770144).

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

40168846632096 is a wasteful number, since it uses less digits than its factorization.

40168846632096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46938 (or 46921 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 40168846632096 in words is "forty trillion, one hundred sixty-eight billion, eight hundred forty-six million, six hundred thirty-two thousand, ninety-six".