221412432053010 has 128 divisors (see below), whose sum is σ = 583004500162560. Its totient is φ = 53369653990400.

The previous prime is 221412432052993. The next prime is 221412432053011. The reversal of 221412432053010 is 10350234214122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (221412432053011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516825595 + ... + 517253825.

It is an arithmetic number, because the mean of its divisors is an integer number (4554722657520).

Almost surely, 2^{221412432053010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221412432053010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291502250081280).

221412432053010 is an abundant number, since it is smaller than the sum of its proper divisors (361592068109550).

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

221412432053010 is a wasteful number, since it uses less digits than its factorization.

221412432053010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437184.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 221412432053010 its reverse (10350234214122), we get a palindrome (231762666267132).

The spelling of 221412432053010 in words is "two hundred twenty-one trillion, four hundred twelve billion, four hundred thirty-two million, fifty-three thousand, ten".