221010241968400 has 240 divisors, whose sum is σ = 539556260117760. Its totient is φ = 86983974604800.

The previous prime is 221010241968379. The next prime is 221010241968449. The reversal of 221010241968400 is 4869142010122.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 11372925084 + ... + 11372944516.

It is an arithmetic number, because the mean of its divisors is an integer number (2248151083824).

Almost surely, 2^{221010241968400} is an apocalyptic number.

221010241968400 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 221010241968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269778130058880).

221010241968400 is an abundant number, since it is smaller than the sum of its proper divisors (318546018149360).

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

221010241968400 is a wasteful number, since it uses less digits than its factorization.

221010241968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20754 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

Adding to 221010241968400 its reverse (4869142010122), we get a palindrome (225879383978522).

The spelling of 221010241968400 in words is "two hundred twenty-one trillion, ten billion, two hundred forty-one million, nine hundred sixty-eight thousand, four hundred".