1355014400 has 108 divisors (see below), whose sum is σ = 3374323092. Its totient is φ = 538705920.

The previous prime is 1355014343. The next prime is 1355014403. The reversal of 1355014400 is 44105531.

It can be written as a sum of positive squares in 6 ways, for example, as 194658304 + 1160356096 = 13952^2 + 34064^2 .

It is not an unprimeable number, because it can be changed into a prime (1355014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234652 + ... + 1235748.

Almost surely, 2^1355014400 is an apocalyptic number.

1355014400 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 1355014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687161546).

1355014400 is an abundant number, since it is smaller than the sum of its proper divisors (2019308692).

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

1355014400 is a wasteful number, since it uses less digits than its factorization.

1355014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1355014400 is about 36810.5202353892. The cubic root of 1355014400 is about 1106.5761445933.

Adding to 1355014400 its reverse (44105531), we get a palindrome (1399119931).

The spelling of 1355014400 in words is "one billion, three hundred fifty-five million, fourteen thousand, four hundred".