409625041680 has 560 divisors, whose sum is σ = 1538201459520. Its totient is φ = 101065853952.

The previous prime is 409625041669. The next prime is 409625041681. The reversal of 409625041680 is 86140526904.

409625041680 is a `hidden beast` number, since 4 + 0 + 9 + 62 + 504 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (409625041681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47643142 + ... + 47651738.

Almost surely, 2^409625041680 is an apocalyptic number.

409625041680 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 409625041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769100729760).

409625041680 is an abundant number, since it is smaller than the sum of its proper divisors (1128576417840).

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

409625041680 is a wasteful number, since it uses less digits than its factorization.

409625041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 409625041680 in words is "four hundred nine billion, six hundred twenty-five million, forty-one thousand, six hundred eighty".