40824768744 has 256 divisors, whose sum is σ = 120068505600. Its totient is φ = 12835065600.

The previous prime is 40824768709. The next prime is 40824768793. The reversal of 40824768744 is 44786742804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51873519 + ... + 51874305.

It is an arithmetic number, because the mean of its divisors is an integer number (469017600).

Almost surely, 2^40824768744 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 40824768744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60034252800).

40824768744 is an abundant number, since it is smaller than the sum of its proper divisors (79243736856).

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

40824768744 is a wasteful number, since it uses less digits than its factorization.

40824768744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 40824768744 in words is "forty billion, eight hundred twenty-four million, seven hundred sixty-eight thousand, seven hundred forty-four".