40819082080 has 192 divisors, whose sum is σ = 114141944448. Its totient is φ = 13504757760.

The previous prime is 40819082071. The next prime is 40819082081. The reversal of 40819082080 is 8028091804.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40819082081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3615324 + ... + 3626596.

It is an arithmetic number, because the mean of its divisors is an integer number (594489294).

Almost surely, 2^40819082080 is an apocalyptic number.

40819082080 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 40819082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57070972224).

40819082080 is an abundant number, since it is smaller than the sum of its proper divisors (73322862368).

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

40819082080 is a wasteful number, since it uses less digits than its factorization.

40819082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409 (or 11401 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 40819082080 in words is "forty billion, eight hundred nineteen million, eighty-two thousand, eighty".