110440404201400 has 192 divisors, whose sum is σ = 316039752161280. Its totient is φ = 34951429670400.

The previous prime is 110440404201329. The next prime is 110440404201461. The reversal of 110440404201400 is 4102404044011.

It is a super-2 number, since 2×110440404201400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692375655 + ... + 692535145.

It is an arithmetic number, because the mean of its divisors is an integer number (1646040375840).

Almost surely, 2^{110440404201400} is an apocalyptic number.

110440404201400 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 110440404201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158019876080640).

110440404201400 is an abundant number, since it is smaller than the sum of its proper divisors (205599347959880).

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

110440404201400 is a wasteful number, since it uses less digits than its factorization.

110440404201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197574 (or 197565 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 110440404201400 its reverse (4102404044011), we get a palindrome (114542808245411).

The spelling of 110440404201400 in words is "one hundred ten trillion, four hundred forty billion, four hundred four million, two hundred one thousand, four hundred".