1124023242400 has 144 divisors (see below), whose sum is σ = 2758051082808. Its totient is φ = 447315968000.

The previous prime is 1124023242389. The next prime is 1124023242427. The reversal of 1124023242400 is 42423204211.

It can be written as a sum of positive squares in 12 ways, for example, as 761758892944 + 362264349456 = 872788^2 + 601884^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150246660 + ... + 150254140.

Almost surely, 2^{1124023242400} is an apocalyptic number.

1124023242400 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 1124023242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379025541404).

1124023242400 is an abundant number, since it is smaller than the sum of its proper divisors (1634027840408).

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

1124023242400 is a wasteful number, since it uses less digits than its factorization.

1124023242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1124023242400 its reverse (42423204211), we get a palindrome (1166446446611).

The spelling of 1124023242400 in words is "one trillion, one hundred twenty-four billion, twenty-three million, two hundred forty-two thousand, four hundred".