40408848000 has 512 divisors, whose sum is σ = 150654816000. Its totient is φ = 10644480000.

The previous prime is 40408847989. The next prime is 40408848013. The reversal of 40408848000 is 84880404.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 38447475 + ... + 38448525.

Almost surely, 2^40408848000 is an apocalyptic number.

40408848000 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 40408848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75327408000).

40408848000 is an abundant number, since it is smaller than the sum of its proper divisors (110245968000).

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

40408848000 is a wasteful number, since it uses less digits than its factorization.

40408848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40408848000 in words is "forty billion, four hundred eight million, eight hundred forty-eight thousand".