409018720104 has 192 divisors, whose sum is σ = 1205673290640. Its totient is φ = 124758097920.

The previous prime is 409018720081. The next prime is 409018720129. The reversal of 409018720104 is 401027810904.

409018720104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 273631517604 + 135387202500 = 523098^2 + 367950^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14690004 + ... + 14717820.

Almost surely, 2^409018720104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409018720104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602836645320).

409018720104 is an abundant number, since it is smaller than the sum of its proper divisors (796654570536).

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

409018720104 is a wasteful number, since it uses less digits than its factorization.

409018720104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28180 (or 28173 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 409018720104 in words is "four hundred nine billion, eighteen million, seven hundred twenty thousand, one hundred four".