20110224000400 has 30 divisors (see below), whose sum is σ = 48314813161922. Its totient is φ = 8044089600000.

The previous prime is 20110224000397. The next prime is 20110224000401. The reversal of 20110224000400 is 400042201102.

It can be written as a sum of positive squares in 3 ways, for example, as 6963624321424 + 13146599678976 = 2638868^2 + 3625824^2 .

It is a super-2 number, since 2×20110224000400² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20110224000401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25137779601 + ... + 25137780400.

Almost surely, 2^{20110224000400} is an apocalyptic number.

20110224000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110224000400 is an abundant number, since it is smaller than the sum of its proper divisors (28204589161522).

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

20110224000400 is a wasteful number, since it uses less digits than its factorization.

20110224000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50275560019 (or 50275560008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20110224000400 its reverse (400042201102), we get a palindrome (20510266201502).

The spelling of 20110224000400 in words is "twenty trillion, one hundred ten billion, two hundred twenty-four million, four hundred", and thus it is an aban number.