1355011400 has 48 divisors (see below), whose sum is σ = 3193592100. Its totient is φ = 534574080.

The previous prime is 1355011393. The next prime is 1355011403. The reversal of 1355011400 is 41105531.

It can be written as a sum of positive squares in 6 ways, for example, as 825183076 + 529828324 = 28726^2 + 23018^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1355011403) 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 11 ways as a sum of consecutive naturals, for example, 31805 + ... + 61004.

Almost surely, 2^1355011400 is an apocalyptic number.

1355011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355011400 is an abundant number, since it is smaller than the sum of its proper divisors (1838580700).

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

1355011400 is a wasteful number, since it uses less digits than its factorization.

1355011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92898 (or 92889 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1355011400 is about 36810.4794861463. The cubic root of 1355011400 is about 1106.5753279400.

Adding to 1355011400 its reverse (41105531), we get a palindrome (1396116931).

The spelling of 1355011400 in words is "one billion, three hundred fifty-five million, eleven thousand, four hundred".