1141014224400 has 120 divisors (see below), whose sum is σ = 3673987721760. Its totient is φ = 302693867520.

The previous prime is 1141014224333. The next prime is 1141014224419. The reversal of 1141014224400 is 44224101411.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2231730 + ... + 2694929.

It is an arithmetic number, because the mean of its divisors is an integer number (30616564348).

Almost surely, 2^{1141014224400} is an apocalyptic number.

1141014224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141014224400 is an abundant number, since it is smaller than the sum of its proper divisors (2532973497360).

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

1141014224400 is a wasteful number, since it uses less digits than its factorization.

1141014224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926873 (or 4926862 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1141014224400 its reverse (44224101411), we get a palindrome (1185238325811).

The spelling of 1141014224400 in words is "one trillion, one hundred forty-one billion, fourteen million, two hundred twenty-four thousand, four hundred".