1355542040 has 64 divisors (see below), whose sum is σ = 3154636800. Its totient is φ = 523905408.

The previous prime is 1355542021. The next prime is 1355542049. The reversal of 1355542040 is 402455531.

It is a junction number, because it is equal to n+sod(n) for n = 1355541994 and 1355542012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355542049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143957 + ... + 153083.

It is an arithmetic number, because the mean of its divisors is an integer number (49291200).

Almost surely, 2^1355542040 is an apocalyptic number.

1355542040 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 1355542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577318400).

1355542040 is an abundant number, since it is smaller than the sum of its proper divisors (1799094760).

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

1355542040 is a wasteful number, since it uses less digits than its factorization.

1355542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 1355542040 is about 36817.6865106975. The cubic root of 1355542040 is about 1106.7197588277.

Adding to 1355542040 its reverse (402455531), we get a palindrome (1757997571).

The spelling of 1355542040 in words is "one billion, three hundred fifty-five million, five hundred forty-two thousand, forty".