409944144405120 has 768 divisors, whose sum is σ = 1454304973881600. Its totient is φ = 98139429273600.

The previous prime is 409944144405113. The next prime is 409944144405167. The reversal of 409944144405120 is 21504441449904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1761485565 + ... + 1761718275.

It is an arithmetic number, because the mean of its divisors is an integer number (1893626268075).

Almost surely, 2^{409944144405120} is an apocalyptic number.

409944144405120 is a gapful number since it is divisible by the number (40) 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 409944144405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727152486940800).

409944144405120 is an abundant number, since it is smaller than the sum of its proper divisors (1044360829476480).

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

409944144405120 is a wasteful number, since it uses less digits than its factorization.

409944144405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232909 (or 232884 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 409944144405120 in words is "four hundred nine trillion, nine hundred forty-four billion, one hundred forty-four million, four hundred five thousand, one hundred twenty".