1241134400 has 168 divisors, whose sum is σ = 3370575936. Its totient is φ = 446054400.

The previous prime is 1241134399. The next prime is 1241134417. The reversal of 1241134400 is 44311421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1706837 + ... + 1707563.

It is an arithmetic number, because the mean of its divisors is an integer number (20062952).

Almost surely, 2^1241134400 is an apocalyptic number.

1241134400 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 1241134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685287968).

1241134400 is an abundant number, since it is smaller than the sum of its proper divisors (2129441536).

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

1241134400 is a wasteful number, since it uses less digits than its factorization.

1241134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1241134400 is about 35229.7374387037. The cubic root of 1241134400 is about 1074.6645861813.

Adding to 1241134400 its reverse (44311421), we get a palindrome (1285445821).

The spelling of 1241134400 in words is "one billion, two hundred forty-one million, one hundred thirty-four thousand, four hundred".