40288080000 has 320 divisors, whose sum is σ = 152836326720. Its totient is φ = 9208320000.

The previous prime is 40288079983. The next prime is 40288080013. The reversal of 40288080000 is 8088204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 40288080000.

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 39 ways as a sum of consecutive naturals, for example, 1668010 + ... + 1691990.

It is an arithmetic number, because the mean of its divisors is an integer number (477613521).

Almost surely, 2^40288080000 is an apocalyptic number.

40288080000 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 40288080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76418163360).

40288080000 is an abundant number, since it is smaller than the sum of its proper divisors (112548246720).

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

40288080000 is an equidigital number, since it uses as much as digits as its factorization.

40288080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24025 (or 23998 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 40288080000 in words is "forty billion, two hundred eighty-eight million, eighty thousand".