440013200420 has 192 divisors, whose sum is σ = 999789557760. Its totient is φ = 162321868800.

The previous prime is 440013200411. The next prime is 440013200437. The reversal of 440013200420 is 24002310044.

It is a super-2 number, since 2×440013200420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 440013200392 and 440013200401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482999765 + ... + 483000675.

It is an arithmetic number, because the mean of its divisors is an integer number (5207237280).

Almost surely, 2^440013200420 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 440013200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499894778880).

440013200420 is an abundant number, since it is smaller than the sum of its proper divisors (559776357340).

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

440013200420 is a wasteful number, since it uses less digits than its factorization.

440013200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 440013200420 its reverse (24002310044), we get a palindrome (464015510464).

The spelling of 440013200420 in words is "four hundred forty billion, thirteen million, two hundred thousand, four hundred twenty".