1338557440 has 88 divisors (see below), whose sum is σ = 3503022912. Its totient is φ = 486727680.

The previous prime is 1338557431. The next prime is 1338557447. The reversal of 1338557440 is 447558331.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1338557393 and 1338557402.

It is not an unprimeable number, because it can be changed into a prime (1338557447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44437 + ... + 68203.

Almost surely, 2^1338557440 is an apocalyptic number.

1338557440 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 1338557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751511456).

1338557440 is an abundant number, since it is smaller than the sum of its proper divisors (2164465472).

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

1338557440 is a wasteful number, since it uses less digits than its factorization.

1338557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23803 (or 23785 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 1338557440 is about 36586.3012615378. The cubic root of 1338557440 is about 1102.0780113482.

The spelling of 1338557440 in words is "one billion, three hundred thirty-eight million, five hundred fifty-seven thousand, four hundred forty".