40048804480000 has 440 divisors, whose sum is σ = 102168082242072. Its totient is φ = 15682240512000.

The previous prime is 40048804479869. The next prime is 40048804480019. The reversal of 40048804480000 is 8440884004.

It can be written as a sum of positive squares in 20 ways, for example, as 29853197860864 + 10195606619136 = 5463808^2 + 3193056^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 6400636872 + ... + 6400643128.

Almost surely, 2^{40048804480000} is an apocalyptic number.

40048804480000 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 40048804480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51084041121036).

40048804480000 is an abundant number, since it is smaller than the sum of its proper divisors (62119277762072).

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

40048804480000 is an equidigital number, since it uses as much as digits as its factorization.

40048804480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 40048804480000 in words is "forty trillion, forty-eight billion, eight hundred four million, four hundred eighty thousand".