40446406000 has 640 divisors, whose sum is σ = 133371463680. Its totient is φ = 11455488000.

The previous prime is 40446405991. The next prime is 40446406003. The reversal of 40446406000 is 60464404.

40446406000 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 40446406000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40446406003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178177887 + ... + 178178113.

It is an arithmetic number, because the mean of its divisors is an integer number (208392912).

Almost surely, 2^40446406000 is an apocalyptic number.

40446406000 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 40446406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685731840).

40446406000 is an abundant number, since it is smaller than the sum of its proper divisors (92925057680).

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

40446406000 is a wasteful number, since it uses less digits than its factorization.

40446406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 40446406000 in words is "forty billion, four hundred forty-six million, four hundred six thousand".