10234420400 has 120 divisors (see below), whose sum is σ = 25741176864. Its totient is φ = 3902976000.

The previous prime is 10234420373. The next prime is 10234420403. The reversal of 10234420400 is 402443201.

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

It is not an unprimeable number, because it can be changed into a prime (10234420403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3098750 + ... + 3102050.

Almost surely, 2^10234420400 is an apocalyptic number.

10234420400 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 10234420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870588432).

10234420400 is an abundant number, since it is smaller than the sum of its proper divisors (15506756464).

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

10234420400 is a wasteful number, since it uses less digits than its factorization.

10234420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3668 counting only the distinct ones).

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

Adding to 10234420400 its reverse (402443201), we get a palindrome (10636863601).

The spelling of 10234420400 in words is "ten billion, two hundred thirty-four million, four hundred twenty thousand, four hundred".