1355240544 has 192 divisors, whose sum is σ = 4352818176. Its totient is φ = 360382464.

The previous prime is 1355240543. The next prime is 1355240573. The reversal of 1355240544 is 4450425531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355240543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107517 + ... + 1108739.

It is an arithmetic number, because the mean of its divisors is an integer number (22670928).

Almost surely, 2^1355240544 is an apocalyptic number.

1355240544 is a gapful number since it is divisible by the number (14) 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 1355240544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176409088).

1355240544 is an abundant number, since it is smaller than the sum of its proper divisors (2997577632).

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

1355240544 is a wasteful number, since it uses less digits than its factorization.

1355240544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 1355240544 is about 36813.5918377982. The cubic root of 1355240544 is about 1106.6377015370.

The spelling of 1355240544 in words is "one billion, three hundred fifty-five million, two hundred forty thousand, five hundred forty-four".