40181917776 has 640 divisors, whose sum is σ = 146870599680. Its totient is φ = 9129369600.

The previous prime is 40181917747. The next prime is 40181917777. The reversal of 40181917776 is 67771918104.

It is a super-2 number, since 2×40181917776² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40181917777) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78942610 + ... + 78943118.

It is an arithmetic number, because the mean of its divisors is an integer number (229485312).

Almost surely, 2^40181917776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40181917776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73435299840).

40181917776 is an abundant number, since it is smaller than the sum of its proper divisors (106688681904).

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

40181917776 is a wasteful number, since it uses less digits than its factorization.

40181917776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 51.

The spelling of 40181917776 in words is "forty billion, one hundred eighty-one million, nine hundred seventeen thousand, seven hundred seventy-six".