40444431240 has 128 divisors (see below), whose sum is σ = 125601840000. Its totient is φ = 10406258688.

The previous prime is 40444431239. The next prime is 40444431271. The reversal of 40444431240 is 4213444404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40444431198 and 40444431207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911836 + ... + 6917684.

It is an arithmetic number, because the mean of its divisors is an integer number (981264375).

Almost surely, 2^40444431240 is an apocalyptic number.

40444431240 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 40444431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62800920000).

40444431240 is an abundant number, since it is smaller than the sum of its proper divisors (85157408760).

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

40444431240 is a wasteful number, since it uses less digits than its factorization.

40444431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 40444431240 its reverse (4213444404), we get a palindrome (44657875644).

The spelling of 40444431240 in words is "forty billion, four hundred forty-four million, four hundred thirty-one thousand, two hundred forty".