424200103440 has 160 divisors (see below), whose sum is σ = 1333524470400. Its totient is φ = 111539392512.

The previous prime is 424200103423. The next prime is 424200103441. The reversal of 424200103440 is 44301002424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424200103440.

It is not an unprimeable number, because it can be changed into a prime (424200103441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4855827 + ... + 4942413.

It is an arithmetic number, because the mean of its divisors is an integer number (8334527940).

Almost surely, 2^424200103440 is an apocalyptic number.

424200103440 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 424200103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666762235200).

424200103440 is an abundant number, since it is smaller than the sum of its proper divisors (909324366960).

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

424200103440 is a wasteful number, since it uses less digits than its factorization.

424200103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86889 (or 86883 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 424200103440 its reverse (44301002424), we get a palindrome (468501105864).

The spelling of 424200103440 in words is "four hundred twenty-four billion, two hundred million, one hundred three thousand, four hundred forty".