40008048848880 has 480 divisors, whose sum is σ = 150025022784000. Its totient is φ = 8638527854592.

The previous prime is 40008048848843. The next prime is 40008048848897. The reversal of 40008048848880 is 8884884080004.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211567011 + ... + 211756029.

It is an arithmetic number, because the mean of its divisors is an integer number (312552130800).

Almost surely, 2^{40008048848880} is an apocalyptic number.

40008048848880 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 40008048848880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75012511392000).

40008048848880 is an abundant number, since it is smaller than the sum of its proper divisors (110016973935120).

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

40008048848880 is a wasteful number, since it uses less digits than its factorization.

40008048848880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189429 (or 189404 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 40008048848880 in words is "forty trillion, eight billion, forty-eight million, eight hundred forty-eight thousand, eight hundred eighty".