4024440040400 has 120 divisors (see below), whose sum is σ = 10436517775320. Its totient is φ = 1482514513920.

The previous prime is 4024440040393. The next prime is 4024440040463. The reversal of 4024440040400 is 40400444204.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2671014936976 + 1353425103424 = 1634324^2 + 1163368^2 .

It is a super-2 number, since 2×4024440040400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4024440040400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357916 + ... + 3145284.

It is an arithmetic number, because the mean of its divisors is an integer number (86970981461).

Almost surely, 2^{4024440040400} is an apocalyptic number.

4024440040400 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 4024440040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218258887660).

4024440040400 is an abundant number, since it is smaller than the sum of its proper divisors (6412077734920).

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

4024440040400 is a wasteful number, since it uses less digits than its factorization.

4024440040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787833 (or 1787822 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4024440040400 its reverse (40400444204), we get a palindrome (4064840484604).

The spelling of 4024440040400 in words is "four trillion, twenty-four billion, four hundred forty million, forty thousand, four hundred".