10144320400 has 120 divisors (see below), whose sum is σ = 25731428480. Its totient is φ = 3832634880.

The previous prime is 10144320383. The next prime is 10144320509. The reversal of 10144320400 is 402344101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2787382 + ... + 2791018.

Almost surely, 2^10144320400 is an apocalyptic number.

10144320400 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 10144320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865714240).

10144320400 is an abundant number, since it is smaller than the sum of its proper divisors (15587108080).

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

10144320400 is a wasteful number, since it uses less digits than its factorization.

10144320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10144320400 its reverse (402344101), we get a palindrome (10546664501).

The spelling of 10144320400 in words is "ten billion, one hundred forty-four million, three hundred twenty thousand, four hundred".