1338279840 has 192 divisors, whose sum is σ = 4887993600. Its totient is φ = 341332992.

The previous prime is 1338279809. The next prime is 1338279847. The reversal of 1338279840 is 489728331.

1338279840 is a `hidden beast` number, since 1 + 338 + 279 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1338279847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92626 + ... + 106094.

It is an arithmetic number, because the mean of its divisors is an integer number (25458300).

Almost surely, 2^1338279840 is an apocalyptic number.

1338279840 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 1338279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443996800).

1338279840 is an abundant number, since it is smaller than the sum of its proper divisors (3549713760).

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

1338279840 is a wasteful number, since it uses less digits than its factorization.

1338279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13516 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1338279840 is about 36582.5072951541. The cubic root of 1338279840 is about 1102.0018203687.

The spelling of 1338279840 in words is "one billion, three hundred thirty-eight million, two hundred seventy-nine thousand, eight hundred forty".