1141120420440 has 512 divisors, whose sum is σ = 4600087511040. Its totient is φ = 218700748800.

The previous prime is 1141120420439. The next prime is 1141120420459. The reversal of 1141120420440 is 440240211411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141120420440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188705497 + ... + 188711543.

It is an arithmetic number, because the mean of its divisors is an integer number (8984545920).

Almost surely, 2^{1141120420440} is an apocalyptic number.

1141120420440 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 1141120420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300043755520).

1141120420440 is an abundant number, since it is smaller than the sum of its proper divisors (3458967090600).

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

1141120420440 is a wasteful number, since it uses less digits than its factorization.

1141120420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7659 counting only the distinct ones).

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

Adding to 1141120420440 its reverse (440240211411), we get a palindrome (1581360631851).

The spelling of 1141120420440 in words is "one trillion, one hundred forty-one billion, one hundred twenty million, four hundred twenty thousand, four hundred forty".