220401342400 has 84 divisors (see below), whose sum is σ = 542600332120. Its totient is φ = 88115788800.

The previous prime is 220401342397. The next prime is 220401342401. The reversal of 220401342400 is 4243104022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220401342401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3212455 + ... + 3280345.

Almost surely, 2^220401342400 is an apocalyptic number.

220401342400 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 220401342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271300166060).

220401342400 is an abundant number, since it is smaller than the sum of its proper divisors (322198989720).

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

220401342400 is a wasteful number, since it uses less digits than its factorization.

220401342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69942 (or 69927 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 220401342400 its reverse (4243104022), we get a palindrome (224644446422).

The spelling of 220401342400 in words is "two hundred twenty billion, four hundred one million, three hundred forty-two thousand, four hundred".