401004112301100 has 540 divisors, whose sum is σ = 1649590902784440. Its totient is φ = 83325528921600.

The previous prime is 401004112301069. The next prime is 401004112301101. The reversal of 401004112301100 is 1103211400104.

401004112301100 is a `hidden beast` number, since 4 + 0 + 10 + 0 + 411 + 230 + 1 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×401004112301100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (401004112301101) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 41558665 + ... + 50290464.

Almost surely, 2^{401004112301100} is an apocalyptic number.

It is an amenable number.

401004112301100 is an abundant number, since it is smaller than the sum of its proper divisors (1248586790483340).

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

401004112301100 is a wasteful number, since it uses less digits than its factorization.

401004112301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91849180 (or 91849157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 401004112301100 its reverse (1103211400104), we get a palindrome (402107323701204).

The spelling of 401004112301100 in words is "four hundred one trillion, four billion, one hundred twelve million, three hundred one thousand, one hundred".