1438032640 has 144 divisors (see below), whose sum is σ = 3796198560. Its totient is φ = 517570560.

The previous prime is 1438032637. The next prime is 1438032649. The reversal of 1438032640 is 462308341.

It is not an unprimeable number, because it can be changed into a prime (1438032649) 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 15 ways as a sum of consecutive naturals, for example, 1534252 + ... + 1535188.

It is an arithmetic number, because the mean of its divisors is an integer number (26362490).

Almost surely, 2^1438032640 is an apocalyptic number.

1438032640 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 1438032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898099280).

1438032640 is an abundant number, since it is smaller than the sum of its proper divisors (2358165920).

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

1438032640 is a wasteful number, since it uses less digits than its factorization.

1438032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1438032640 is about 37921.4008180078. The cubic root of 1438032640 is about 1128.7287345451.

The spelling of 1438032640 in words is "one billion, four hundred thirty-eight million, thirty-two thousand, six hundred forty".