10200342440 has 128 divisors (see below), whose sum is σ = 24058944000. Its totient is φ = 3888691200.

The previous prime is 10200342437. The next prime is 10200342491. The reversal of 10200342440 is 4424300201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26221766 + ... + 26222154.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 2^10200342440 is an apocalyptic number.

10200342440 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 10200342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029472000).

10200342440 is an abundant number, since it is smaller than the sum of its proper divisors (13858601560).

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

10200342440 is a wasteful number, since it uses less digits than its factorization.

10200342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

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

Adding to 10200342440 its reverse (4424300201), we get a palindrome (14624642641).

The spelling of 10200342440 in words is "ten billion, two hundred million, three hundred forty-two thousand, four hundred forty".