1142632224 has 192 divisors, whose sum is σ = 3536225280. Its totient is φ = 358318080.

The previous prime is 1142632189. The next prime is 1142632243. The reversal of 1142632224 is 4222362411.

1142632224 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 632 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990432 + ... + 991584.

It is an arithmetic number, because the mean of its divisors is an integer number (18417840).

Almost surely, 2^1142632224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768112640).

1142632224 is an abundant number, since it is smaller than the sum of its proper divisors (2393593056).

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

1142632224 is a wasteful number, since it uses less digits than its factorization.

1142632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1142632224 is about 33802.8434306938. The cubic root of 1142632224 is about 1045.4473254113.

Adding to 1142632224 its reverse (4222362411), we get a palindrome (5364994635).

The spelling of 1142632224 in words is "one billion, one hundred forty-two million, six hundred thirty-two thousand, two hundred twenty-four".