409496190566400 has 3240 divisors, whose sum is σ = 1772832347613600. Its totient is φ = 90311019724800.

The previous prime is 409496190566389. The next prime is 409496190566453. The reversal of 409496190566400 is 4665091694904.

409496190566400 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 9 + 61 + 9 + 0 + 566 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×409496190566400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1215122227032 + ... + 1215122227368.

Almost surely, 2^{409496190566400} is an apocalyptic number.

409496190566400 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 409496190566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886416173806800).

409496190566400 is an abundant number, since it is smaller than the sum of its proper divisors (1363336157047200).

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

409496190566400 is an equidigital number, since it uses as much as digits as its factorization.

409496190566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 409496190566400 in words is "four hundred nine trillion, four hundred ninety-six billion, one hundred ninety million, five hundred sixty-six thousand, four hundred".