40408480880000 has 160 divisors (see below), whose sum is σ = 100612508535000. Its totient is φ = 16160480768000.

The previous prime is 40408480879997. The next prime is 40408480880003. The reversal of 40408480880000 is 8808480404.

It is an interprime number because it is at equal distance from previous prime (40408480879997) and next prime (40408480880003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40408480880003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 475077476 + ... + 475162524.

Almost surely, 2^{40408480880000} is an apocalyptic number.

40408480880000 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 40408480880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50306254267500).

40408480880000 is an abundant number, since it is smaller than the sum of its proper divisors (60204027655000).

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

40408480880000 is an frugal number, since it uses more digits than its factorization.

40408480880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91022 (or 90995 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 40408480880000 in words is "forty trillion, four hundred eight billion, four hundred eighty million, eight hundred eighty thousand".