40931156448 has 432 divisors, whose sum is σ = 151651543680. Its totient is φ = 10225253376.

The previous prime is 40931156417. The next prime is 40931156459. The reversal of 40931156448 is 84465113904.

40931156448 is a `hidden beast` number, since 4 + 0 + 93 + 115 + 6 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6470215 + ... + 6476537.

It is an arithmetic number, because the mean of its divisors is an integer number (351045240).

Almost surely, 2^40931156448 is an apocalyptic number.

40931156448 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 40931156448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75825771840).

40931156448 is an abundant number, since it is smaller than the sum of its proper divisors (110720387232).

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

40931156448 is a wasteful number, since it uses less digits than its factorization.

40931156448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40931156448 in words is "forty billion, nine hundred thirty-one million, one hundred fifty-six thousand, four hundred forty-eight".