406801109081400 has 96 divisors (see below), whose sum is σ = 1375727387097600. Its totient is φ = 98618450684800.

The previous prime is 406801109081377. The next prime is 406801109081431. The reversal of 406801109081400 is 4180901108604.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30818259240 + ... + 30818272439.

It is an arithmetic number, because the mean of its divisors is an integer number (14330493615600).

Almost surely, 2^{406801109081400} is an apocalyptic number.

406801109081400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406801109081400 is an abundant number, since it is smaller than the sum of its proper divisors (968926278016200).

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

406801109081400 is a wasteful number, since it uses less digits than its factorization.

406801109081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61636531709 (or 61636531700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 406801109081400 in words is "four hundred six trillion, eight hundred one billion, one hundred nine million, eighty-one thousand, four hundred".