221410640400 has 120 divisors (see below), whose sum is σ = 746581218720. Its totient is φ = 55935313920.

The previous prime is 221410640393. The next prime is 221410640441. The reversal of 221410640400 is 4046014122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×221410640400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4832697 + ... + 4878296.

It is an arithmetic number, because the mean of its divisors is an integer number (6221510156).

Almost surely, 2^221410640400 is an apocalyptic number.

221410640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221410640400 is an abundant number, since it is smaller than the sum of its proper divisors (525170578320).

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

221410640400 is a wasteful number, since it uses less digits than its factorization.

221410640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9711033 (or 9711022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221410640400 its reverse (4046014122), we get a palindrome (225456654522).

The spelling of 221410640400 in words is "two hundred twenty-one billion, four hundred ten million, six hundred forty thousand, four hundred".