40126181760 has 1536 divisors, whose sum is σ = 179640115200. Its totient is φ = 8360755200.

The previous prime is 40126181747. The next prime is 40126181783. The reversal of 40126181760 is 6718162104.

It is a happy number.

40126181760 is a `hidden beast` number, since 401 + 2 + 6 + 181 + 76 + 0 = 666.

It is a super-2 number, since 2×40126181760² (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 a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 978687340 + ... + 978687380.

It is an arithmetic number, because the mean of its divisors is an integer number (116953200).

Almost surely, 2^40126181760 is an apocalyptic number.

40126181760 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 40126181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89820057600).

40126181760 is an abundant number, since it is smaller than the sum of its proper divisors (139513933440).

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

40126181760 is a wasteful number, since it uses less digits than its factorization.

40126181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 40126181760 in words is "forty billion, one hundred twenty-six million, one hundred eighty-one thousand, seven hundred sixty".