40864824 has 336 divisors, whose sum is σ = 156998520. Its totient is φ = 9797760.

The previous prime is 40864793. The next prime is 40864829. The reversal of 40864824 is 42846804.

40864824 is a `hidden beast` number, since 4 + 0 + 8 + 648 + 2 + 4 = 666.

40864824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40864829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3143442 + ... + 3143454.

Almost surely, 2^40864824 is an apocalyptic number.

40864824 is a gapful number since it is divisible by the number (44) 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 40864824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78499260).

40864824 is an abundant number, since it is smaller than the sum of its proper divisors (116133696).

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

40864824 is a wasteful number, since it uses less digits than its factorization.

40864824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40864824 is about 6392.5600505588. The cubic root of 40864824 is about 344.4423505326.

The spelling of 40864824 in words is "forty million, eight hundred sixty-four thousand, eight hundred twenty-four".