1359641040 has 80 divisors (see below), whose sum is σ = 4238568000. Its totient is φ = 360534016.

The previous prime is 1359640999. The next prime is 1359641053. The reversal of 1359641040 is 401469531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1359640992 and 1359641010.

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 15 ways as a sum of consecutive naturals, for example, 27136 + ... + 58784.

It is an arithmetic number, because the mean of its divisors is an integer number (52982100).

Almost surely, 2^1359641040 is an apocalyptic number.

1359641040 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 1359641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119284000).

1359641040 is an abundant number, since it is smaller than the sum of its proper divisors (2878926960).

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

1359641040 is a wasteful number, since it uses less digits than its factorization.

1359641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31844 (or 31838 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1359641040 is about 36873.3106731685. The cubic root of 1359641040 is about 1107.8341665125.

The spelling of 1359641040 in words is "one billion, three hundred fifty-nine million, six hundred forty-one thousand, forty".