401544221200 has 180 divisors, whose sum is σ = 1010166977988. Its totient is φ = 153377100800.

The previous prime is 401544221161. The next prime is 401544221207. The reversal of 401544221200 is 2122445104.

It can be written as a sum of positive squares in 6 ways, for example, as 101796731136 + 299747490064 = 319056^2 + 547492^2 .

It is a super-2 number, since 2×401544221200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (401544221207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168644010 + ... + 168646390.

Almost surely, 2^401544221200 is an apocalyptic number.

401544221200 is a gapful number since it is divisible by the number (40) 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 401544221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505083488994).

401544221200 is an abundant number, since it is smaller than the sum of its proper divisors (608622756788).

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

401544221200 is a wasteful number, since it uses less digits than its factorization.

401544221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 401544221200 its reverse (2122445104), we get a palindrome (403666666304).

The spelling of 401544221200 in words is "four hundred one billion, five hundred forty-four million, two hundred twenty-one thousand, two hundred".