10248038400 has 288 divisors, whose sum is σ = 34195936320. Its totient is φ = 2707292160.

The previous prime is 10248038387. The next prime is 10248038419. The reversal of 10248038400 is 483084201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21042957 + ... + 21043443.

It is an arithmetic number, because the mean of its divisors is an integer number (118735890).

Almost surely, 2^10248038400 is an apocalyptic number.

10248038400 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 10248038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097968160).

10248038400 is an abundant number, since it is smaller than the sum of its proper divisors (23947897920).

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

10248038400 is a wasteful number, since it uses less digits than its factorization.

10248038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

It can be divided in two parts, 1024803 and 8400, that added together give a triangular number (1033203 = T₁₄₃₇).

The spelling of 10248038400 in words is "ten billion, two hundred forty-eight million, thirty-eight thousand, four hundred".