440024004420 has 1152 divisors, whose sum is σ = 1752810651648. Its totient is φ = 80162058240.

The previous prime is 440024004397. The next prime is 440024004421. The reversal of 440024004420 is 24400420044.

It is a super-2 number, since 2×440024004420² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440024004421) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1148887549 + ... + 1148887931.

It is an arithmetic number, because the mean of its divisors is an integer number (1521537024).

Almost surely, 2^440024004420 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 440024004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876405325824).

440024004420 is an abundant number, since it is smaller than the sum of its proper divisors (1312786647228).

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

440024004420 is a wasteful number, since it uses less digits than its factorization.

440024004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440024004420 its reverse (24400420044), we get a palindrome (464424424464).

The spelling of 440024004420 in words is "four hundred forty billion, twenty-four million, four thousand, four hundred twenty".