1204141824 has 216 divisors, whose sum is σ = 3736448352. Its totient is φ = 371589120.

The previous prime is 1204141823. The next prime is 1204141831. The reversal of 1204141824 is 4281414021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204141823) 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, 2780712 + ... + 2781144.

It is an arithmetic number, because the mean of its divisors is an integer number (17298372).

Almost surely, 2^1204141824 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 1204141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868224176).

1204141824 is an abundant number, since it is smaller than the sum of its proper divisors (2532306528).

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

1204141824 is a wasteful number, since it uses less digits than its factorization.

1204141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1204141824 is about 34700.7467354811. The cubic root of 1204141824 is about 1063.8797610373.

Adding to 1204141824 its reverse (4281414021), we get a palindrome (5485555845).

The spelling of 1204141824 in words is "one billion, two hundred four million, one hundred forty-one thousand, eight hundred twenty-four".