22460401541200 has 120 divisors (see below), whose sum is σ = 61690350047040. Its totient is φ = 7698148684800.

The previous prime is 22460401541173. The next prime is 22460401541257. The reversal of 22460401541200 is 214510406422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7098756 + ... + 9762844.

It is an arithmetic number, because the mean of its divisors is an integer number (514086250392).

Almost surely, 2^{22460401541200} is an apocalyptic number.

22460401541200 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 22460401541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30845175023520).

22460401541200 is an abundant number, since it is smaller than the sum of its proper divisors (39229948505840).

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

22460401541200 is a wasteful number, since it uses less digits than its factorization.

22460401541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667125 (or 2667114 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 22460401541200 its reverse (214510406422), we get a palindrome (22674911947622).

The spelling of 22460401541200 in words is "twenty-two trillion, four hundred sixty billion, four hundred one million, five hundred forty-one thousand, two hundred".