40085476480 has 256 divisors, whose sum is σ = 115639603200. Its totient is φ = 12980072448.

The previous prime is 40085476463. The next prime is 40085476481. The reversal of 40085476480 is 8467458004.

It is a self number, because there is not a number n which added to its sum of digits gives 40085476480.

It is not an unprimeable number, because it can be changed into a prime (40085476481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41452957 + ... + 41453923.

It is an arithmetic number, because the mean of its divisors is an integer number (451717200).

Almost surely, 2^40085476480 is an apocalyptic number.

40085476480 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 40085476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57819801600).

40085476480 is an abundant number, since it is smaller than the sum of its proper divisors (75554126720).

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

40085476480 is a wasteful number, since it uses less digits than its factorization.

40085476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 40085476480 in words is "forty billion, eighty-five million, four hundred seventy-six thousand, four hundred eighty".