4241414354400 has 216 divisors, whose sum is σ = 14959767919824. Its totient is φ = 1130780620800.

The previous prime is 4241414354383. The next prime is 4241414354413. The reversal of 4241414354400 is 44534141424.

4241414354400 is a `hidden beast` number, since 4 + 24 + 141 + 43 + 54 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31908877 + ... + 32041523.

It is an arithmetic number, because the mean of its divisors is an integer number (69258184814).

Almost surely, 2^{4241414354400} is an apocalyptic number.

4241414354400 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 4241414354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479883959912).

4241414354400 is an abundant number, since it is smaller than the sum of its proper divisors (10718353565424).

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

4241414354400 is a wasteful number, since it uses less digits than its factorization.

4241414354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137114 (or 137098 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4241414354400 its reverse (44534141424), we get a palindrome (4285948495824).

The spelling of 4241414354400 in words is "four trillion, two hundred forty-one billion, four hundred fourteen million, three hundred fifty-four thousand, four hundred".