1361838240 has 288 divisors, whose sum is σ = 5349576960. Its totient is φ = 309030912.

The previous prime is 1361838199. The next prime is 1361838241. The reversal of 1361838240 is 428381631.

1361838240 is a `hidden beast` number, since 1 + 3 + 618 + 38 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1361838195 and 1361838204.

It is not an unprimeable number, because it can be changed into a prime (1361838241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682956 + ... + 1683764.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^1361838240 is an apocalyptic number.

1361838240 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 1361838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1361838240 is an abundant number, since it is smaller than the sum of its proper divisors (3987738720).

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

1361838240 is a wasteful number, since it uses less digits than its factorization.

1361838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1361838240 is about 36903.0925533349. The cubic root of 1361838240 is about 1108.4306041350.

The spelling of 1361838240 in words is "one billion, three hundred sixty-one million, eight hundred thirty-eight thousand, two hundred forty".