201242410824 has 768 divisors, whose sum is σ = 688103424000. Its totient is φ = 48819843072.

The previous prime is 201242410819. The next prime is 201242410847. The reversal of 201242410824 is 428014242102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201242410791 and 201242410800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1584585849 + ... + 1584585975.

It is an arithmetic number, because the mean of its divisors is an integer number (895968000).

Almost surely, 2^201242410824 is an apocalyptic number.

201242410824 is a gapful number since it is divisible by the number (24) 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 201242410824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344051712000).

201242410824 is an abundant number, since it is smaller than the sum of its proper divisors (486861013176).

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

201242410824 is a wasteful number, since it uses less digits than its factorization.

201242410824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 201242410824 its reverse (428014242102), we get a palindrome (629256652926).

The spelling of 201242410824 in words is "two hundred one billion, two hundred forty-two million, four hundred ten thousand, eight hundred twenty-four".