1356315840 has 560 divisors, whose sum is σ = 5417051904. Its totient is φ = 319334400.

The previous prime is 1356315839. The next prime is 1356315881. The reversal of 1356315840 is 485136531.

1356315840 is a `hidden beast` number, since 1 + 3 + 563 + 1 + 58 + 40 = 666.

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 = 1356315795 and 1356315804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19103005 + ... + 19103075.

Almost surely, 2^1356315840 is an apocalyptic number.

1356315840 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 1356315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708525952).

1356315840 is an abundant number, since it is smaller than the sum of its proper divisors (4060736064).

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

1356315840 is a wasteful number, since it uses less digits than its factorization.

1356315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1356315840 is about 36828.1935478785. The cubic root of 1356315840 is about 1106.9303060537.

It can be divided in two parts, 13563 and 15840, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 1356315840 in words is "one billion, three hundred fifty-six million, three hundred fifteen thousand, eight hundred forty".