1141142401224 has 192 divisors, whose sum is σ = 3583705507200. Its totient is φ = 321285823488.

The previous prime is 1141142401187. The next prime is 1141142401241. The reversal of 1141142401224 is 4221042411411.

1141142401224 is a `hidden beast` number, since 1 + 1 + 4 + 11 + 424 + 0 + 1 + 224 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42775762 + ... + 42802430.

It is an arithmetic number, because the mean of its divisors is an integer number (18665132850).

Almost surely, 2^{1141142401224} is an apocalyptic number.

1141142401224 is a gapful number since it is divisible by the number (14) 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 1141142401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791852753600).

1141142401224 is an abundant number, since it is smaller than the sum of its proper divisors (2442563105976).

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

1141142401224 is a wasteful number, since it uses less digits than its factorization.

1141142401224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27924 (or 27917 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1141142401224 its reverse (4221042411411), we get a palindrome (5362184812635).

The spelling of 1141142401224 in words is "one trillion, one hundred forty-one billion, one hundred forty-two million, four hundred one thousand, two hundred twenty-four".