1000405444120 has 64 divisors (see below), whose sum is σ = 2279632209120. Its totient is φ = 395063184384.

The previous prime is 1000405444111. The next prime is 1000405444123. The reversal of 1000405444120 is 214445040001.

It is a super-2 number, since 2×1000405444120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000405444123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4652422 + ... + 4862698.

Almost surely, 2^{1000405444120} is an apocalyptic number.

1000405444120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000405444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139816104560).

1000405444120 is an abundant number, since it is smaller than the sum of its proper divisors (1279226765000).

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

1000405444120 is a wasteful number, since it uses less digits than its factorization.

1000405444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211804 (or 211800 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 1000405444120 in words is "one trillion, four hundred five million, four hundred forty-four thousand, one hundred twenty".