40319804448 has 648 divisors, whose sum is σ = 152415886896. Its totient is φ = 9996940800.

The previous prime is 40319804429. The next prime is 40319804501. The reversal of 40319804448 is 84440891304.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 82117483 + ... + 82117973.

It is an arithmetic number, because the mean of its divisors is an integer number (235209702).

Almost surely, 2^40319804448 is an apocalyptic number.

40319804448 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 40319804448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76207943448).

40319804448 is an abundant number, since it is smaller than the sum of its proper divisors (112096082448).

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

40319804448 is a wasteful number, since it uses less digits than its factorization.

40319804448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 40319804448 in words is "forty billion, three hundred nineteen million, eight hundred four thousand, four hundred forty-eight".