401044400400 has 180 divisors, whose sum is σ = 1494422608272. Its totient is φ = 91667278080.

The previous prime is 401044400369. The next prime is 401044400417. The reversal of 401044400400 is 4004440104.

It is a super-2 number, since 2×401044400400² (a number of 24 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3351442 + ... + 3469041.

Almost surely, 2^401044400400 is an apocalyptic number.

401044400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401044400400 is an abundant number, since it is smaller than the sum of its proper divisors (1093378207872).

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

401044400400 is a wasteful number, since it uses less digits than its factorization.

401044400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820518 (or 6820500 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 401044400400 its reverse (4004440104), we get a palindrome (405048840504).

The spelling of 401044400400 in words is "four hundred one billion, forty-four million, four hundred thousand, four hundred".