409090909090920 has 768 divisors, whose sum is σ = 1481620416480000. Its totient is φ = 90053133778944.

The previous prime is 409090909090909. The next prime is 409090909091003. The reversal of 409090909090920 is 29090909090904.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3773394634 + ... + 3773503046.

It is an arithmetic number, because the mean of its divisors is an integer number (1929193250625).

Almost surely, 2^{409090909090920} is an apocalyptic number.

409090909090920 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 409090909090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740810208240000).

409090909090920 is an abundant number, since it is smaller than the sum of its proper divisors (1072529507389080).

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

409090909090920 is a wasteful number, since it uses less digits than its factorization.

409090909090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108722 (or 108711 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 60.

The spelling of 409090909090920 in words is "four hundred nine trillion, ninety billion, nine hundred nine million, ninety thousand, nine hundred twenty".