40446236544 has 128 divisors (see below), whose sum is σ = 124163539200. Its totient is φ = 11426156544.

The previous prime is 40446236449. The next prime is 40446236569. The reversal of 40446236544 is 44563264404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40446236496 and 40446236505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154699 + ... + 323765.

It is an arithmetic number, because the mean of its divisors is an integer number (970027650).

Almost surely, 2^40446236544 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 40446236544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62081769600).

40446236544 is an abundant number, since it is smaller than the sum of its proper divisors (83717302656).

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

40446236544 is a wasteful number, since it uses less digits than its factorization.

40446236544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169180 (or 169168 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 40446236544 in words is "forty billion, four hundred forty-six million, two hundred thirty-six thousand, five hundred forty-four".