10424410000 has 75 divisors (see below), whose sum is σ = 25263282693. Its totient is φ = 4165680000.

The previous prime is 10424409949. The next prime is 10424410043. The reversal of 10424410000 is 1442401.

The square root of 10424410000 is 102100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7254269584 + 3170140416 = 85172^2 + 56304^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10209490 + ... + 10210510.

Almost surely, 2^10424410000 is an apocalyptic number.

10424410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10424410000 is the 102100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424410000

10424410000 is an abundant number, since it is smaller than the sum of its proper divisors (14838872693).

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

10424410000 is an frugal number, since it uses more digits than its factorization.

10424410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 10424410000 by its sum of digits (16), we get a square (166790560000 = 408400²).

10424410000 divided by its sum of digits (16) gives a square (651525625 = 25525²).

Adding to 10424410000 its reverse (1442401), we get a palindrome (10425852401).

It can be divided in two parts, 104244 and 10000, that added together give a square (114244 = 338²).

The spelling of 10424410000 in words is "ten billion, four hundred twenty-four million, four hundred ten thousand".