1338377040 has 640 divisors, whose sum is σ = 6199603200. Its totient is φ = 256296960.

The previous prime is 1338377011. The next prime is 1338377069. The reversal of 1338377040 is 407738331.

It is an interprime number because it is at equal distance from previous prime (1338377011) and next prime (1338377069).

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 = 1338376986 and 1338377004.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2161851 + ... + 2162469.

It is an arithmetic number, because the mean of its divisors is an integer number (9686880).

Almost surely, 2^1338377040 is an apocalyptic number.

1338377040 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 1338377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099801600).

1338377040 is an abundant number, since it is smaller than the sum of its proper divisors (4861226160).

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

1338377040 is a wasteful number, since it uses less digits than its factorization.

1338377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1338377040 is about 36583.8357748337. The cubic root of 1338377040 is about 1102.0284993887.

The spelling of 1338377040 in words is "one billion, three hundred thirty-eight million, three hundred seventy-seven thousand, forty".