1141530600 has 192 divisors, whose sum is σ = 4068311040. Its totient is φ = 259372800.

The previous prime is 1141530587. The next prime is 1141530613. The reversal of 1141530600 is 60351411.

It is an interprime number because it is at equal distance from previous prime (1141530587) and next prime (1141530613).

It is a super-2 number, since 2×1141530600² = 2606184221472720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 801489 + ... + 802911.

It is an arithmetic number, because the mean of its divisors is an integer number (21189120).

Almost surely, 2^1141530600 is an apocalyptic number.

1141530600 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 1141530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034155520).

1141530600 is an abundant number, since it is smaller than the sum of its proper divisors (2926780440).

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

1141530600 is a wasteful number, since it uses less digits than its factorization.

1141530600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1141530600 is about 33786.5446590799. The cubic root of 1141530600 is about 1045.1112417157. Note that the first 3 decimals are identical.

The spelling of 1141530600 in words is "one billion, one hundred forty-one million, five hundred thirty thousand, six hundred".