10234410000 has 200 divisors, whose sum is σ = 33341452320. Its totient is φ = 2704128000.

The previous prime is 10234409987. The next prime is 10234410001. The reversal of 10234410000 is 1443201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10234410001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3388491 + ... + 3391509.

Almost surely, 2^10234410000 is an apocalyptic number.

10234410000 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 10234410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670726160).

10234410000 is an abundant number, since it is smaller than the sum of its proper divisors (23107042320).

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

10234410000 is a wasteful number, since it uses less digits than its factorization.

10234410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10234410000 its reverse (1443201), we get a palindrome (10235853201).

The spelling of 10234410000 in words is "ten billion, two hundred thirty-four million, four hundred ten thousand".