1341141120 has 384 divisors, whose sum is σ = 5149759680. Its totient is φ = 318873600.

The previous prime is 1341141107. The next prime is 1341141121. The reversal of 1341141120 is 211411431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1341141093 and 1341141102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341141121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3864787 + ... + 3865133.

Almost surely, 2^1341141120 is an apocalyptic number.

1341141120 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 1341141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574879840).

1341141120 is an abundant number, since it is smaller than the sum of its proper divisors (3808618560).

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

1341141120 is a wasteful number, since it uses less digits than its factorization.

1341141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1341141120 is about 36621.5936299883. The cubic root of 1341141120 is about 1102.7866316305.

Adding to 1341141120 its reverse (211411431), we get a palindrome (1552552551).

It can be divided in two parts, 13411411 and 20, that added together give a palindrome (13411431).

The spelling of 1341141120 in words is "one billion, three hundred forty-one million, one hundred forty-one thousand, one hundred twenty".