409306041630720 has 960 divisors, whose sum is σ = 1568046341111040. Its totient is φ = 100698471530496.

The previous prime is 409306041630719. The next prime is 409306041630763. The reversal of 409306041630720 is 27036140603904.

409306041630720 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 0 + 6 + 0 + 4 + 1 + 630 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96239368114 + ... + 96239372366.

It is an arithmetic number, because the mean of its divisors is an integer number (1633381605324).

Almost surely, 2^{409306041630720} is an apocalyptic number.

409306041630720 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 409306041630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784023170555520).

409306041630720 is an abundant number, since it is smaller than the sum of its proper divisors (1158740299480320).

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

409306041630720 is a wasteful number, since it uses less digits than its factorization.

409306041630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 409306041630720 in words is "four hundred nine trillion, three hundred six billion, forty-one million, six hundred thirty thousand, seven hundred twenty".