220001160400 has 480 divisors, whose sum is σ = 635287116800. Its totient is φ = 73156608000.

The previous prime is 220001160373. The next prime is 220001160413. The reversal of 220001160400 is 4061100022.

It is a super-3 number, since 3×220001160400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811812265 + ... + 811812535.

Almost surely, 2^220001160400 is an apocalyptic number.

220001160400 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 220001160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317643558400).

220001160400 is an abundant number, since it is smaller than the sum of its proper divisors (415285956400).

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

220001160400 is a wasteful number, since it uses less digits than its factorization.

220001160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220001160400 its reverse (4061100022), we get a palindrome (224062260422).

The spelling of 220001160400 in words is "two hundred twenty billion, one million, one hundred sixty thousand, four hundred".