1004401400420 has 36 divisors (see below), whose sum is σ = 2318424064572. Its totient is φ = 365236872000.

The previous prime is 1004401400351. The next prime is 1004401400437. The reversal of 1004401400420 is 240041044001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 334370749504 + 670030650916 = 578248^2 + 818554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004401400392 and 1004401400401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207518531 + ... + 207523370.

Almost surely, 2^{1004401400420} is an apocalyptic number.

1004401400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004401400420 is an abundant number, since it is smaller than the sum of its proper divisors (1314022664152).

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

1004401400420 is a wasteful number, since it uses less digits than its factorization.

1004401400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415041932 (or 415041919 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1004401400420 its reverse (240041044001), we get a palindrome (1244442444421).

The spelling of 1004401400420 in words is "one trillion, four billion, four hundred one million, four hundred thousand, four hundred twenty".