40161644616104 has 256 divisors, whose sum is σ = 85203306639360. Its totient is φ = 17593873920000.

The previous prime is 40161644616089. The next prime is 40161644616113.

40161644616104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40161644616104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 28144109039 + ... + 28144110465.

It is an arithmetic number, because the mean of its divisors is an integer number (332825416560).

Almost surely, 2^{40161644616104} is an apocalyptic number.

40161644616104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40161644616104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42601653319680).

40161644616104 is an abundant number, since it is smaller than the sum of its proper divisors (45041662023256).

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

40161644616104 is a wasteful number, since it uses less digits than its factorization.

40161644616104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 40161644616104 in words is "forty trillion, one hundred sixty-one billion, six hundred forty-four million, six hundred sixteen thousand, one hundred four".