1355362416 has 160 divisors (see below), whose sum is σ = 4163820800. Its totient is φ = 420837120.

The previous prime is 1355362387. The next prime is 1355362433. The reversal of 1355362416 is 6142635531.

1355362416 is a `hidden beast` number, since 1 + 3 + 553 + 62 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499335 + ... + 502041.

It is an arithmetic number, because the mean of its divisors is an integer number (26023880).

Almost surely, 2^1355362416 is an apocalyptic number.

1355362416 is a gapful number since it is divisible by the number (16) 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 1355362416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081910400).

1355362416 is an abundant number, since it is smaller than the sum of its proper divisors (2808458384).

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

1355362416 is a wasteful number, since it uses less digits than its factorization.

1355362416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2792 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1355362416 is about 36815.2470587935. The cubic root of 1355362416 is about 1106.6708725506.

Adding to 1355362416 its reverse (6142635531), we get a palindrome (7497997947).

The spelling of 1355362416 in words is "one billion, three hundred fifty-five million, three hundred sixty-two thousand, four hundred sixteen".