409427741880 has 640 divisors, whose sum is σ = 1476642182400. Its totient is φ = 101449801728.

The previous prime is 409427741857. The next prime is 409427741911. The reversal of 409427741880 is 88147724904.

409427741880 is a `hidden beast` number, since 40 + 9 + 42 + 77 + 418 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1159851784 + ... + 1159852136.

It is an arithmetic number, because the mean of its divisors is an integer number (2307253410).

Almost surely, 2^409427741880 is an apocalyptic number.

409427741880 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 409427741880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738321091200).

409427741880 is an abundant number, since it is smaller than the sum of its proper divisors (1067214440520).

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

409427741880 is a wasteful number, since it uses less digits than its factorization.

409427741880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 409427741880 in words is "four hundred nine billion, four hundred twenty-seven million, seven hundred forty-one thousand, eight hundred eighty".