1141552200 has 192 divisors, whose sum is σ = 3634053120. Its totient is φ = 296352000.

The previous prime is 1141552199. The next prime is 1141552207. The reversal of 1141552200 is 22551411.

It is not an unprimeable number, because it can be changed into a prime (1141552207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5410095 + ... + 5410305.

It is an arithmetic number, because the mean of its divisors is an integer number (18927360).

Almost surely, 2^1141552200 is an apocalyptic number.

1141552200 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 1141552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817026560).

1141552200 is an abundant number, since it is smaller than the sum of its proper divisors (2492500920).

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

1141552200 is a wasteful number, since it uses less digits than its factorization.

1141552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1141552200 is about 33786.8643114451. The cubic root of 1141552200 is about 1045.1178335263.

The spelling of 1141552200 in words is "one billion, one hundred forty-one million, five hundred fifty-two thousand, two hundred".