110441132201400 has 768 divisors, whose sum is σ = 461007853608960. Its totient is φ = 21122426419200.

The previous prime is 110441132201383. The next prime is 110441132201419. The reversal of 110441132201400 is 4102231144011.

It is a happy number.

It is a super-2 number, since 2×110441132201400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208143237 + ... + 208673163.

It is an arithmetic number, because the mean of its divisors is an integer number (600270642720).

Almost surely, 2^{110441132201400} is an apocalyptic number.

110441132201400 is a gapful number since it is divisible by the number (10) 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 110441132201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230503926804480).

110441132201400 is an abundant number, since it is smaller than the sum of its proper divisors (350566721407560).

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

110441132201400 is a wasteful number, since it uses less digits than its factorization.

110441132201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530324 (or 530315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 110441132201400 its reverse (4102231144011), we get a palindrome (114543363345411).

The spelling of 110441132201400 in words is "one hundred ten trillion, four hundred forty-one billion, one hundred thirty-two million, two hundred one thousand, four hundred".