401208440400 has 90 divisors (see below), whose sum is σ = 1392304747470. Its totient is φ = 106988916480.

The previous prime is 401208440383. The next prime is 401208440407. The reversal of 401208440400 is 4044802104.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36194301504 + 365014138896 = 190248^2 + 604164^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401208440407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55719795 + ... + 55726994.

Almost surely, 2^401208440400 is an apocalyptic number.

401208440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401208440400 is an abundant number, since it is smaller than the sum of its proper divisors (991096307070).

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

401208440400 is a wasteful number, since it uses less digits than its factorization.

401208440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111446813 (or 111446799 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 401208440400 in words is "four hundred one billion, two hundred eight million, four hundred forty thousand, four hundred".