4241246400 has 336 divisors, whose sum is σ = 15964692480. Its totient is φ = 1094169600.

The previous prime is 4241246393. The next prime is 4241246423. The reversal of 4241246400 is 46421424.

It is a happy number.

4241246400 is a `hidden beast` number, since 4 + 2 + 4 + 12 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337617 + ... + 1340783.

Almost surely, 2^4241246400 is an apocalyptic number.

4241246400 is a gapful number since it is divisible by the number (40) 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 4241246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982346240).

4241246400 is an abundant number, since it is smaller than the sum of its proper divisors (11723446080).

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

4241246400 is a wasteful number, since it uses less digits than its factorization.

4241246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4241246400 is about 65124.8523990650. The cubic root of 4241246400 is about 1618.6930473942.

Adding to 4241246400 its reverse (46421424), we get a palindrome (4287667824).

The spelling of 4241246400 in words is "four billion, two hundred forty-one million, two hundred forty-six thousand, four hundred".