110401202321424 has 320 divisors, whose sum is σ = 366561438566400. Its totient is φ = 31160155949568.

The previous prime is 110401202321419. The next prime is 110401202321441. The reversal of 110401202321424 is 424123202104011.

110401202321424 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 1 + 2 + 0 + 232 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4521106687 + ... + 4521131105.

It is an arithmetic number, because the mean of its divisors is an integer number (1145504495520).

Almost surely, 2^{110401202321424} is an apocalyptic number.

110401202321424 is a gapful number since it is divisible by the number (14) 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 110401202321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183280719283200).

110401202321424 is an abundant number, since it is smaller than the sum of its proper divisors (256160236244976).

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

110401202321424 is a wasteful number, since it uses less digits than its factorization.

110401202321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42539 (or 42527 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110401202321424 its reverse (424123202104011), we get a palindrome (534524404425435).

The spelling of 110401202321424 in words is "one hundred ten trillion, four hundred one billion, two hundred two million, three hundred twenty-one thousand, four hundred twenty-four".