1438903440 has 800 divisors, whose sum is σ = 6049612800. Its totient is φ = 313528320.

The previous prime is 1438903423. The next prime is 1438903451. The reversal of 1438903440 is 443098341.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1438903395 and 1438903404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46416225 + ... + 46416255.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^1438903440 is an apocalyptic number.

1438903440 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 1438903440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024806400).

1438903440 is an abundant number, since it is smaller than the sum of its proper divisors (4610709360).

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

1438903440 is a wasteful number, since it uses less digits than its factorization.

1438903440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1438903440 is about 37932.8807237204. The cubic root of 1438903440 is about 1128.9565222934.

The spelling of 1438903440 in words is "one billion, four hundred thirty-eight million, nine hundred three thousand, four hundred forty".