40405341440 has 72 divisors (see below), whose sum is σ = 96933638088. Its totient is φ = 16137052160.

The previous prime is 40405341437. The next prime is 40405341479. The reversal of 40405341440 is 4414350404.

It can be written as a sum of positive squares in 4 ways, for example, as 5085401344 + 35319940096 = 71312^2 + 187936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811670 + ... + 860010.

It is an arithmetic number, because the mean of its divisors is an integer number (1346300529).

Almost surely, 2^40405341440 is an apocalyptic number.

40405341440 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 40405341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48466819044).

40405341440 is an abundant number, since it is smaller than the sum of its proper divisors (56528296648).

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

40405341440 is an equidigital number, since it uses as much as digits as its factorization.

40405341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49015 (or 49001 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 40405341440 its reverse (4414350404), we get a palindrome (44819691844).

The spelling of 40405341440 in words is "forty billion, four hundred five million, three hundred forty-one thousand, four hundred forty".