1241416000 has 112 divisors (see below), whose sum is σ = 3354092352. Its totient is φ = 451392000.

The previous prime is 1241415997. The next prime is 1241416013. The reversal of 1241416000 is 6141421.

It is a super-2 number, since 2×1241416000² = 3082227370112000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80947 + ... + 95053.

Almost surely, 2^1241416000 is an apocalyptic number.

1241416000 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 1241416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677046176).

1241416000 is an abundant number, since it is smaller than the sum of its proper divisors (2112676352).

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

1241416000 is a wasteful number, since it uses less digits than its factorization.

1241416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14145 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1241416000 is about 35233.7338356297. The cubic root of 1241416000 is about 1074.7458566338.

Adding to 1241416000 its reverse (6141421), we get a palindrome (1247557421).

It can be divided in two parts, 1241 and 416000, that added together give a triangular number (417241 = T₉₁₃).

The spelling of 1241416000 in words is "one billion, two hundred forty-one million, four hundred sixteen thousand".