40173319872 has 168 divisors, whose sum is σ = 136473931776. Its totient is φ = 11478060288.

The previous prime is 40173319861. The next prime is 40173319873. The reversal of 40173319872 is 27891337104.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×40173319872² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40173319873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75648 + ... + 293375.

It is an arithmetic number, because the mean of its divisors is an integer number (812344832).

Almost surely, 2^40173319872 is an apocalyptic number.

40173319872 is a gapful number since it is divisible by the number (42) 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 40173319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68236965888).

40173319872 is an abundant number, since it is smaller than the sum of its proper divisors (96300611904).

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

40173319872 is an equidigital number, since it uses as much as digits as its factorization.

40173319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369057 (or 369035 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 40173319872 in words is "forty billion, one hundred seventy-three million, three hundred nineteen thousand, eight hundred seventy-two".