10200424440 has 128 divisors (see below), whose sum is σ = 31726598400. Its totient is φ = 2621690880.

The previous prime is 10200424411. The next prime is 10200424477. The reversal of 10200424440 is 4442400201.

It is a super-2 number, since 2×10200424440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395871 + ... + 420849.

It is an arithmetic number, because the mean of its divisors is an integer number (247864050).

Almost surely, 2^10200424440 is an apocalyptic number.

10200424440 is a gapful number since it is divisible by the number (10) 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 10200424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863299200).

10200424440 is an abundant number, since it is smaller than the sum of its proper divisors (21526173960).

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

10200424440 is a wasteful number, since it uses less digits than its factorization.

10200424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25117 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10200424440 its reverse (4442400201), we get a palindrome (14642824641).

The spelling of 10200424440 in words is "ten billion, two hundred million, four hundred twenty-four thousand, four hundred forty".