110442040401000 has 256 divisors, whose sum is σ = 429605194936320. Its totient is φ = 22948995360000.

The previous prime is 110442040400959. The next prime is 110442040401023. The reversal of 110442040401000 is 104040244011.

It is a super-2 number, since 2×110442040401000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 238821036 + ... + 239283035.

It is an arithmetic number, because the mean of its divisors is an integer number (1678145292720).

Almost surely, 2^{110442040401000} is an apocalyptic number.

110442040401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110442040401000 is an abundant number, since it is smaller than the sum of its proper divisors (319163154535320).

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

110442040401000 is a wasteful number, since it uses less digits than its factorization.

110442040401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478104113 (or 478104099 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 110442040401000 its reverse (104040244011), we get a palindrome (110546080645011).

The spelling of 110442040401000 in words is "one hundred ten trillion, four hundred forty-two billion, forty million, four hundred one thousand".