40826044224 has 224 divisors, whose sum is σ = 139968224000. Its totient is φ = 11664414720.

The previous prime is 40826044117. The next prime is 40826044229. The reversal of 40826044224 is 42244062804.

It is a happy number.

40826044224 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 604 + 42 + 2 + 4 = 666.

40826044224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 (40826044229) 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, 558264 + ... + 627144.

Almost surely, 2^40826044224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40826044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984112000).

40826044224 is an abundant number, since it is smaller than the sum of its proper divisors (99142179776).

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

40826044224 is an equidigital number, since it uses as much as digits as its factorization.

40826044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68923 (or 68893 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 40826044224 in words is "forty billion, eight hundred twenty-six million, forty-four thousand, two hundred twenty-four".