401110100400000 has 192 divisors, whose sum is σ = 1331725648322160. Its totient is φ = 106962693120000.

The previous prime is 401110100399971. The next prime is 401110100400017. The reversal of 401110100400000 is 4001011104.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165929209 + ... + 168329208.

Almost surely, 2^{401110100400000} is an apocalyptic number.

401110100400000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401110100400000 is an abundant number, since it is smaller than the sum of its proper divisors (930615547922160).

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

401110100400000 is an frugal number, since it uses more digits than its factorization.

401110100400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334258459 (or 334258427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 401110100400000 its reverse (4001011104), we get a palindrome (401114101411104).

The spelling of 401110100400000 in words is "four hundred one trillion, one hundred ten billion, one hundred million, four hundred thousand".