409060689408 has 400 divisors, whose sum is σ = 1416251806464. Its totient is φ = 115124613120.

The previous prime is 409060689371. The next prime is 409060689421. The reversal of 409060689408 is 804986060904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19439853 + ... + 19460883.

Almost surely, 2^409060689408 is an apocalyptic number.

409060689408 is a gapful number since it is divisible by the number (48) 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 409060689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708125903232).

409060689408 is an abundant number, since it is smaller than the sum of its proper divisors (1007191117056).

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

409060689408 is an equidigital number, since it uses as much as digits as its factorization.

409060689408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135 (or 21110 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 409060689408 in words is "four hundred nine billion, sixty million, six hundred eighty-nine thousand, four hundred eight".