1355542144000 has 176 divisors, whose sum is σ = 3689219604096. Its totient is φ = 492923904000.

The previous prime is 1355542143997. The next prime is 1355542144007. The reversal of 1355542144000 is 4412455531.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (1355542144007) 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, 926629 + ... + 1889371.

Almost surely, 2^{1355542144000} is an apocalyptic number.

1355542144000 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 1355542144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844609802048).

1355542144000 is an abundant number, since it is smaller than the sum of its proper divisors (2333677460096).

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

1355542144000 is an equidigital number, since it uses as much as digits as its factorization.

1355542144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962789 (or 962761 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 1355542144000 its reverse (4412455531), we get a palindrome (1359954599531).

The spelling of 1355542144000 in words is "one trillion, three hundred fifty-five billion, five hundred forty-two million, one hundred forty-four thousand".