1355442016 has 48 divisors (see below), whose sum is σ = 2829133440. Its totient is φ = 638115840.

The previous prime is 1355441999. The next prime is 1355442017. The reversal of 1355442016 is 6102445531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355442017) 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 7 ways as a sum of consecutive naturals, for example, 18240 + ... + 55168.

It is an arithmetic number, because the mean of its divisors is an integer number (58940280).

Almost surely, 2^1355442016 is an apocalyptic number.

1355442016 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 1355442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414566720).

1355442016 is an abundant number, since it is smaller than the sum of its proper divisors (1473691424).

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

1355442016 is a wasteful number, since it uses less digits than its factorization.

1355442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37007 (or 36999 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 1355442016 is about 36816.3281167473. The cubic root of 1355442016 is about 1106.6925369349.

Adding to 1355442016 its reverse (6102445531), we get a palindrome (7457887547).

The spelling of 1355442016 in words is "one billion, three hundred fifty-five million, four hundred forty-two thousand, sixteen".