1355442000000 has 672 divisors, whose sum is σ = 4949406959280. Its totient is φ = 328416000000.

The previous prime is 1355441999959. The next prime is 1355442000041. The reversal of 1355442000000 is 2445531.

It is an interprime number because it is at equal distance from previous prime (1355441999959) and next prime (1355442000041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 725999067 + ... + 726000933.

Almost surely, 2^{1355442000000} is an apocalyptic number.

1355442000000 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 1355442000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474703479640).

1355442000000 is an abundant number, since it is smaller than the sum of its proper divisors (3593964959280).

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

1355442000000 is an frugal number, since it uses more digits than its factorization.

1355442000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 1355442000000 its reverse (2445531), we get a palindrome (1355444445531).

The spelling of 1355442000000 in words is "one trillion, three hundred fifty-five billion, four hundred forty-two million", and thus it is an aban number.