1141624200 has 96 divisors (see below), whose sum is σ = 3621420000. Its totient is φ = 297346560.

The previous prime is 1141624163. The next prime is 1141624201. The reversal of 1141624200 is 24261411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1141624201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3676 + ... + 47924.

It is an arithmetic number, because the mean of its divisors is an integer number (37723125).

Almost surely, 2^1141624200 is an apocalyptic number.

1141624200 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 1141624200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810710000).

1141624200 is an abundant number, since it is smaller than the sum of its proper divisors (2479795800).

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

1141624200 is a wasteful number, since it uses less digits than its factorization.

1141624200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44311 (or 44302 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1141624200 is about 33787.9297974883. The cubic root of 1141624200 is about 1045.1398056277.

Adding to 1141624200 its reverse (24261411), we get a palindrome (1165885611).

The spelling of 1141624200 in words is "one billion, one hundred forty-one million, six hundred twenty-four thousand, two hundred".