40678171200 has 252 divisors, whose sum is σ = 153085441860. Its totient is φ = 10209361920.

The previous prime is 40678171199. The next prime is 40678171207. The reversal of 40678171200 is 217187604.

It can be written as a sum of positive squares in 6 ways, for example, as 306110016 + 40372061184 = 17496^2 + 200928^2 .

It is a super-2 number, since 2×40678171200² (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 not an unprimeable number, because it can be changed into a prime (40678171207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161716 + ... + 327884.

Almost surely, 2^40678171200 is an apocalyptic number.

40678171200 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 40678171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76542720930).

40678171200 is an abundant number, since it is smaller than the sum of its proper divisors (112407270660).

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

40678171200 is a wasteful number, since it uses less digits than its factorization.

40678171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166214 (or 166196 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 40678171200 in words is "forty billion, six hundred seventy-eight million, one hundred seventy-one thousand, two hundred".