40444413000 has 128 divisors (see below), whose sum is σ = 127095696000. Its totient is φ = 10707475200.

The previous prime is 40444412959. The next prime is 40444413007. The reversal of 40444413000 is 31444404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40444413007) 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, 368506 + ... + 465494.

It is an arithmetic number, because the mean of its divisors is an integer number (992935125).

Almost surely, 2^40444413000 is an apocalyptic number.

40444413000 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 40444413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63547848000).

40444413000 is an abundant number, since it is smaller than the sum of its proper divisors (86651283000).

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

40444413000 is a wasteful number, since it uses less digits than its factorization.

40444413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97152 (or 97138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40444413000 its reverse (31444404), we get a palindrome (40475857404).

The spelling of 40444413000 in words is "forty billion, four hundred forty-four million, four hundred thirteen thousand".