1359109440 has 336 divisors, whose sum is σ = 5201204736. Its totient is φ = 323481600.

The previous prime is 1359109363. The next prime is 1359109441. The reversal of 1359109440 is 449019531.

It is a happy number.

It is a super-2 number, since 2×1359109440² = 3694356939794227200, which contains 22 as substring.

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 = 1359109395 and 1359109404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359109441) 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, 1160055 + ... + 1161225.

It is an arithmetic number, because the mean of its divisors is an integer number (15479776).

Almost surely, 2^1359109440 is an apocalyptic number.

1359109440 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 1359109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600602368).

1359109440 is an abundant number, since it is smaller than the sum of its proper divisors (3842095296).

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

1359109440 is a wasteful number, since it uses less digits than its factorization.

1359109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1359109440 is about 36866.1015025999. The cubic root of 1359109440 is about 1107.6897653076.

The spelling of 1359109440 in words is "one billion, three hundred fifty-nine million, one hundred nine thousand, four hundred forty".