40288919840 has 96 divisors (see below), whose sum is σ = 103036446576. Its totient is φ = 14798684160.

The previous prime is 40288919831. The next prime is 40288919851. The reversal of 40288919840 is 4891988204.

It is a happy number.

It is a Cunningham number, because it is equal to 200721²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 1130842384 + 39158077456 = 33628^2 + 197884^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 351260 + ... + 451620.

Almost surely, 2^40288919840 is an apocalyptic number.

40288919840 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 40288919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51518223288).

40288919840 is an abundant number, since it is smaller than the sum of its proper divisors (62747526736).

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

40288919840 is a wasteful number, since it uses less digits than its factorization.

40288919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100582 (or 100574 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 40288919840 in words is "forty billion, two hundred eighty-eight million, nine hundred nineteen thousand, eight hundred forty".