40004488408080 has 1280 divisors, whose sum is σ = 155889565286400. Its totient is φ = 8286344478720.

The previous prime is 40004488408063. The next prime is 40004488408139. The reversal of 40004488408080 is 8080488440004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13069089750 + ... + 13069092810.

It is an arithmetic number, because the mean of its divisors is an integer number (121788722880).

Almost surely, 2^{40004488408080} is an apocalyptic number.

40004488408080 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 40004488408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77944782643200).

40004488408080 is an abundant number, since it is smaller than the sum of its proper divisors (115885076878320).

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

40004488408080 is a wasteful number, since it uses less digits than its factorization.

40004488408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 40004488408080 in words is "forty trillion, four billion, four hundred eighty-eight million, four hundred eight thousand, eighty".