40448378880 has 1296 divisors, whose sum is σ = 179915348340. Its totient is φ = 8373141504.

The previous prime is 40448378869. The next prime is 40448378917. The reversal of 40448378880 is 8887384404.

It is a happy number.

40448378880 is a `hidden beast` number, since 4 + 0 + 4 + 483 + 7 + 88 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7283598336 + 33164780544 = 85344^2 + 182112^2 .

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 107 ways as a sum of consecutive naturals, for example, 763176934 + ... + 763176986.

Almost surely, 2^40448378880 is an apocalyptic number.

40448378880 is a gapful number since it is divisible by the number (40) 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 40448378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89957674170).

40448378880 is an abundant number, since it is smaller than the sum of its proper divisors (139466969460).

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

40448378880 is a wasteful number, since it uses less digits than its factorization.

40448378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 40448378880 in words is "forty billion, four hundred forty-eight million, three hundred seventy-eight thousand, eight hundred eighty".