40817273167944 has 2048 divisors, whose sum is σ = 151936942080000. Its totient is φ = 10073664921600.

The previous prime is 40817273167921. The next prime is 40817273167987. The reversal of 40817273167944 is 44976137271804.

It is a happy number.

40817273167944 is a `hidden beast` number, since 40 + 8 + 172 + 7 + 316 + 79 + 44 = 666.

It is a super-2 number, since 2×40817273167944² (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 an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 132955287039 + ... + 132955287345.

It is an arithmetic number, because the mean of its divisors is an integer number (74187960000).

Almost surely, 2^{40817273167944} 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 40817273167944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75968471040000).

40817273167944 is an abundant number, since it is smaller than the sum of its proper divisors (111119668912056).

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

40817273167944 is a wasteful number, since it uses less digits than its factorization.

40817273167944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 40817273167944 in words is "forty trillion, eight hundred seventeen billion, two hundred seventy-three million, one hundred sixty-seven thousand, nine hundred forty-four".