40776016440 has 128 divisors (see below), whose sum is σ = 127729405440. Its totient is φ = 10394098176.

The previous prime is 40776016429. The next prime is 40776016513. The reversal of 40776016440 is 4461067704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5331259 + ... + 5338901.

It is an arithmetic number, because the mean of its divisors is an integer number (997885980).

Almost surely, 2^40776016440 is an apocalyptic number.

40776016440 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 40776016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63864702720).

40776016440 is an abundant number, since it is smaller than the sum of its proper divisors (86953389000).

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

40776016440 is a wasteful number, since it uses less digits than its factorization.

40776016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9613 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 40776016440 in words is "forty billion, seven hundred seventy-six million, sixteen thousand, four hundred forty".