10438278900 has 432 divisors, whose sum is σ = 37303862400. Its totient is φ = 2252275200.

The previous prime is 10438278743. The next prime is 10438278901. The reversal of 10438278900 is 987283401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438278901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37146760 + ... + 37147040.

Almost surely, 2^10438278900 is an apocalyptic number.

10438278900 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 10438278900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651931200).

10438278900 is an abundant number, since it is smaller than the sum of its proper divisors (26865583500).

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

10438278900 is a wasteful number, since it uses less digits than its factorization.

10438278900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10438278900 in words is "ten billion, four hundred thirty-eight million, two hundred seventy-eight thousand, nine hundred".