1355421540 has 192 divisors, whose sum is σ = 4247147520. Its totient is φ = 320232960.

The previous prime is 1355421527. The next prime is 1355421541. The reversal of 1355421540 is 451245531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1355421498 and 1355421507.

It is not an unprimeable number, because it can be changed into a prime (1355421541) 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 63 ways as a sum of consecutive naturals, for example, 5970907 + ... + 5971133.

It is an arithmetic number, because the mean of its divisors is an integer number (22120560).

Almost surely, 2^1355421540 is an apocalyptic number.

1355421540 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 1355421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123573760).

1355421540 is an abundant number, since it is smaller than the sum of its proper divisors (2891725980).

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

1355421540 is a wasteful number, since it uses less digits than its factorization.

1355421540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1355421540 is about 36816.0500325605. The cubic root of 1355421540 is about 1106.6869641525.

The spelling of 1355421540 in words is "one billion, three hundred fifty-five million, four hundred twenty-one thousand, five hundred forty".