10024410000 has 400 divisors, whose sum is σ = 36300230208. Its totient is φ = 2361600000.

The previous prime is 10024409987. The next prime is 10024410023. The reversal of 10024410000 is 1442001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12209590 + ... + 12210410.

Almost surely, 2^10024410000 is an apocalyptic number.

10024410000 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 10024410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150115104).

10024410000 is an abundant number, since it is smaller than the sum of its proper divisors (26275820208).

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

10024410000 is a wasteful number, since it uses less digits than its factorization.

10024410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10024410000 its reverse (1442001), we get a palindrome (10025852001).

It can be divided in two parts, 10024 and 410000, that added together give a palindrome (420024).

The spelling of 10024410000 in words is "ten billion, twenty-four million, four hundred ten thousand".