40171675040 has 192 divisors, whose sum is σ = 110361968640. Its totient is φ = 13533434880.

The previous prime is 40171675021. The next prime is 40171675069. The reversal of 40171675040 is 4057617104.

It is a happy number.

It is a super-2 number, since 2×40171675040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 30455501 + ... + 30456819.

It is an arithmetic number, because the mean of its divisors is an integer number (574801920).

Almost surely, 2^40171675040 is an apocalyptic number.

40171675040 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 40171675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55180984320).

40171675040 is an abundant number, since it is smaller than the sum of its proper divisors (70190293600).

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

40171675040 is a wasteful number, since it uses less digits than its factorization.

40171675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 40171675040 in words is "forty billion, one hundred seventy-one million, six hundred seventy-five thousand, forty".