220201313420400 has 1440 divisors, whose sum is σ = 834307803383040. Its totient is φ = 49444550737920.

The previous prime is 220201313420383. The next prime is 220201313420411. The reversal of 220201313420400 is 4024313102022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13829126839 + ... + 13829142761.

It is an arithmetic number, because the mean of its divisors is an integer number (579380419016).

Almost surely, 2^{220201313420400} is an apocalyptic number.

220201313420400 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 220201313420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417153901691520).

220201313420400 is an abundant number, since it is smaller than the sum of its proper divisors (614106489962640).

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

220201313420400 is a wasteful number, since it uses less digits than its factorization.

220201313420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123 (or 16099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220201313420400 its reverse (4024313102022), we get a palindrome (224225626522422).

The spelling of 220201313420400 in words is "two hundred twenty trillion, two hundred one billion, three hundred thirteen million, four hundred twenty thousand, four hundred".