241416806400 has 2016 divisors, whose sum is σ = 1139423232960. Its totient is φ = 50164531200.

The previous prime is 241416806363. The next prime is 241416806417. The reversal of 241416806400 is 4608614142.

It is a happy number.

241416806400 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 6 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21946982395 + ... + 21946982405.

Almost surely, 2^241416806400 is an apocalyptic number.

241416806400 is a gapful number since it is divisible by the number (20) 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 241416806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569711616480).

241416806400 is an abundant number, since it is smaller than the sum of its proper divisors (898006426560).

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

241416806400 is an frugal number, since it uses more digits than its factorization.

241416806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 241416806400 in words is "two hundred forty-one billion, four hundred sixteen million, eight hundred six thousand, four hundred".