40173148800 has 672 divisors, whose sum is σ = 157700291580. Its totient is φ = 10072719360.

The previous prime is 40173148733. The next prime is 40173148819. The reversal of 40173148800 is 884137104.

40173148800 is a `hidden beast` number, since 4 + 0 + 173 + 1 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6701714496 + 33471434304 = 81864^2 + 182952^2 .

It is a super-2 number, since 2×40173148800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39657094 + ... + 39658106.

Almost surely, 2^40173148800 is an apocalyptic number.

40173148800 is a gapful number since it is divisible by the number (40) 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 40173148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78850145790).

40173148800 is an abundant number, since it is smaller than the sum of its proper divisors (117527142780).

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

40173148800 is a wasteful number, since it uses less digits than its factorization.

40173148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 40173148800 in words is "forty billion, one hundred seventy-three million, one hundred forty-eight thousand, eight hundred".