40448044800 has 324 divisors, whose sum is σ = 148527116920. Its totient is φ = 10494074880.

The previous prime is 40448044799. The next prime is 40448044807. The reversal of 40448044800 is 844084404.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40448044807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2121711 + ... + 2140689.

Almost surely, 2^40448044800 is an apocalyptic number.

40448044800 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 40448044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74263558460).

40448044800 is an abundant number, since it is smaller than the sum of its proper divisors (108079072120).

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

40448044800 is a wasteful number, since it uses less digits than its factorization.

40448044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048 (or 19026 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40448044800 in words is "forty billion, four hundred forty-eight million, forty-four thousand, eight hundred".