10235144000 has 224 divisors, whose sum is σ = 26482304160. Its totient is φ = 3913728000.

The previous prime is 10235143949. The next prime is 10235144009. The reversal of 10235144000 is 44153201.

It can be written as a sum of positive squares in 16 ways, for example, as 7274042944 + 2961101056 = 85288^2 + 54416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235144009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36423860 + ... + 36424140.

Almost surely, 2^10235144000 is an apocalyptic number.

10235144000 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 10235144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241152080).

10235144000 is an abundant number, since it is smaller than the sum of its proper divisors (16247160160).

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

10235144000 is a wasteful number, since it uses less digits than its factorization.

10235144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10235144000 its reverse (44153201), we get a palindrome (10279297201).

The spelling of 10235144000 in words is "ten billion, two hundred thirty-five million, one hundred forty-four thousand".