1438162740 has 324 divisors, whose sum is σ = 5255074188. Its totient is φ = 317399040.

The previous prime is 1438162717. The next prime is 1438162769. The reversal of 1438162740 is 472618341.

1438162740 is a `hidden beast` number, since 1 + 4 + 381 + 6 + 274 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 541399824 + 896762916 = 23268^2 + 29946^2 .

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 = 1438162695 and 1438162704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14826372 + ... + 14826468.

Almost surely, 2^1438162740 is an apocalyptic number.

1438162740 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 1438162740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627537094).

1438162740 is an abundant number, since it is smaller than the sum of its proper divisors (3816911448).

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

1438162740 is a wasteful number, since it uses less digits than its factorization.

1438162740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1438162740 is about 37923.1161694289. The cubic root of 1438162740 is about 1128.7627725254.

The spelling of 1438162740 in words is "one billion, four hundred thirty-eight million, one hundred sixty-two thousand, seven hundred forty".