40084844000 has 192 divisors, whose sum is σ = 107883135360. Its totient is φ = 14569676800.

The previous prime is 40084843937. The next prime is 40084844003. The reversal of 40084844000 is 44848004.

It is a happy number.

40084844000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084844003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961837 + ... + 1982163.

It is an arithmetic number, because the mean of its divisors is an integer number (561891330).

Almost surely, 2^40084844000 is an apocalyptic number.

40084844000 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 40084844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53941567680).

40084844000 is an abundant number, since it is smaller than the sum of its proper divisors (67798291360).

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

40084844000 is a wasteful number, since it uses less digits than its factorization.

40084844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20398 (or 20380 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 40084844000 in words is "forty billion, eighty-four million, eight hundred forty-four thousand".