1141153451020 has 288 divisors, whose sum is σ = 2745683184384. Its totient is φ = 394971456000.

The previous prime is 1141153450991. The next prime is 1141153451101. The reversal of 1141153451020 is 201543511411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1141153451020.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3288626487 + ... + 3288626833.

It is an arithmetic number, because the mean of its divisors is an integer number (9533622168).

Almost surely, 2^{1141153451020} is an apocalyptic number.

1141153451020 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 1141153451020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372841592192).

1141153451020 is an abundant number, since it is smaller than the sum of its proper divisors (1604529733364).

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

1141153451020 is a wasteful number, since it uses less digits than its factorization.

1141153451020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 1141153451020 its reverse (201543511411), we get a palindrome (1342696962431).

The spelling of 1141153451020 in words is "one trillion, one hundred forty-one billion, one hundred fifty-three million, four hundred fifty-one thousand, twenty".