1241332400 has 240 divisors, whose sum is σ = 3812755968. Its totient is φ = 377088000.

The previous prime is 1241332381. The next prime is 1241332409. The reversal of 1241332400 is 42331421.

It is a super-2 number, since 2×1241332400² = 3081812254579520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1241332409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1262309 + ... + 1263291.

Almost surely, 2^1241332400 is an apocalyptic number.

1241332400 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 1241332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906377984).

1241332400 is an abundant number, since it is smaller than the sum of its proper divisors (2571423568).

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

1241332400 is a wasteful number, since it uses less digits than its factorization.

1241332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1241332400 is about 35232.5474526041. The cubic root of 1241332400 is about 1074.7217307511.

Adding to 1241332400 its reverse (42331421), we get a palindrome (1283663821).

The spelling of 1241332400 in words is "one billion, two hundred forty-one million, three hundred thirty-two thousand, four hundred".