1438140096 has 336 divisors, whose sum is σ = 4674575360. Its totient is φ = 436700160.

The previous prime is 1438140091. The next prime is 1438140133. The reversal of 1438140096 is 6900418341.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1438140096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438140091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9160050 + ... + 9160206.

Almost surely, 2^1438140096 is an apocalyptic number.

1438140096 is a gapful number since it is divisible by the number (16) 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 1438140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337287680).

1438140096 is an abundant number, since it is smaller than the sum of its proper divisors (3236435264).

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

1438140096 is a wasteful number, since it uses less digits than its factorization.

1438140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1438140096 is about 37922.8176168385. The cubic root of 1438140096 is about 1128.7568483376.

The spelling of 1438140096 in words is "one billion, four hundred thirty-eight million, one hundred forty thousand, ninety-six".