409507799040 has 336 divisors, whose sum is σ = 1472151739968. Its totient is φ = 109199425536.

The previous prime is 409507798991. The next prime is 409507799053. The reversal of 409507799040 is 40997705904.

409507799040 is a `hidden beast` number, since 4 + 0 + 9 + 507 + 7 + 9 + 90 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9932709 + ... + 9973851.

It is an arithmetic number, because the mean of its divisors is an integer number (4381403988).

Almost surely, 2^409507799040 is an apocalyptic number.

409507799040 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 409507799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736075869984).

409507799040 is an abundant number, since it is smaller than the sum of its proper divisors (1062643940928).

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

409507799040 is an frugal number, since it uses more digits than its factorization.

409507799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41189 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 409507799040 in words is "four hundred nine billion, five hundred seven million, seven hundred ninety-nine thousand, forty".