220042104122400 has 576 divisors, whose sum is σ = 841045665132288. Its totient is φ = 48914706677760.

The previous prime is 220042104122377. The next prime is 220042104122411. The reversal of 220042104122400 is 4221401240022.

It is a happy number.

It is a super-2 number, since 2×220042104122400² (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 1450116934 + ... + 1450268666.

It is an arithmetic number, because the mean of its divisors is an integer number (1460148724188).

Almost surely, 2^{220042104122400} is an apocalyptic number.

220042104122400 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 220042104122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420522832566144).

220042104122400 is an abundant number, since it is smaller than the sum of its proper divisors (621003561009888).

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

220042104122400 is a wasteful number, since it uses less digits than its factorization.

220042104122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154133 (or 154120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 220042104122400 its reverse (4221401240022), we get a palindrome (224263505362422).

The spelling of 220042104122400 in words is "two hundred twenty trillion, forty-two billion, one hundred four million, one hundred twenty-two thousand, four hundred".