1356305040 has 80 divisors (see below), whose sum is σ = 4671724800. Its totient is φ = 361680768.

The previous prime is 1356305023. The next prime is 1356305047. The reversal of 1356305040 is 405036531.

1356305040 is a `hidden beast` number, since 1 + 356 + 305 + 0 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1356304995 and 1356305013.

It is not an unprimeable number, because it can be changed into a prime (1356305047) by changing a digit.

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, 311800 + ... + 316119.

It is an arithmetic number, because the mean of its divisors is an integer number (58396560).

Almost surely, 2^1356305040 is an apocalyptic number.

1356305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356305040 is an abundant number, since it is smaller than the sum of its proper divisors (3315419760).

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

1356305040 is a wasteful number, since it uses less digits than its factorization.

1356305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627941 (or 627929 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1356305040 is about 36828.0469207912. The cubic root of 1356305040 is about 1106.9273679772.

The spelling of 1356305040 in words is "one billion, three hundred fifty-six million, three hundred five thousand, forty".