10438908480 has 1792 divisors, whose sum is σ = 53090795520. Its totient is φ = 1857945600.

The previous prime is 10438908439. The next prime is 10438908511. The reversal of 10438908480 is 8480983401.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147026845 + ... + 147026915.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^10438908480 is an apocalyptic number.

10438908480 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 10438908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26545397760).

10438908480 is an abundant number, since it is smaller than the sum of its proper divisors (42651887040).

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

10438908480 is a wasteful number, since it uses less digits than its factorization.

10438908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10438908480 in words is "ten billion, four hundred thirty-eight million, nine hundred eight thousand, four hundred eighty".