40471123968 has 576 divisors, whose sum is σ = 135409397760. Its totient is φ = 11531059200.

The previous prime is 40471123939. The next prime is 40471123969. The reversal of 40471123968 is 86932117404.

40471123968 is a `hidden beast` number, since 404 + 7 + 1 + 1 + 239 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40471123969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295409596 + ... + 295409732.

It is an arithmetic number, because the mean of its divisors is an integer number (235085760).

Almost surely, 2^40471123968 is an apocalyptic number.

40471123968 is a gapful number since it is divisible by the number (48) 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 40471123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704698880).

40471123968 is an abundant number, since it is smaller than the sum of its proper divisors (94938273792).

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

40471123968 is a wasteful number, since it uses less digits than its factorization.

40471123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40471123968 in words is "forty billion, four hundred seventy-one million, one hundred twenty-three thousand, nine hundred sixty-eight".