1359059040 has 96 divisors (see below), whose sum is σ = 4756721760. Its totient is φ = 362414592.

The previous prime is 1359058991. The next prime is 1359059057. The reversal of 1359059040 is 409509531.

1359059040 is a `hidden beast` number, since 13 + 59 + 0 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1359058986 and 1359059004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152979 + ... + 161618.

It is an arithmetic number, because the mean of its divisors is an integer number (49549185).

Almost surely, 2^1359059040 is an apocalyptic number.

1359059040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1359059040 is an abundant number, since it is smaller than the sum of its proper divisors (3397662720).

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

1359059040 is a wasteful number, since it uses less digits than its factorization.

1359059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314621 (or 314607 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1359059040 is about 36865.4179414801. The cubic root of 1359059040 is about 1107.6760729458.

The spelling of 1359059040 in words is "one billion, three hundred fifty-nine million, fifty-nine thousand, forty".