409963099392 has 1008 divisors, whose sum is σ = 1564793782272. Its totient is φ = 104046612480.

The previous prime is 409963099391. The next prime is 409963099421. The reversal of 409963099392 is 293990369904.

409963099392 is a `hidden beast` number, since 40 + 9 + 96 + 30 + 99 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409963099391) 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, 675391953 + ... + 675392559.

It is an arithmetic number, because the mean of its divisors is an integer number (1552374784).

Almost surely, 2^409963099392 is an apocalyptic number.

409963099392 is a gapful number since it is divisible by the number (42) 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 409963099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782396891136).

409963099392 is an abundant number, since it is smaller than the sum of its proper divisors (1154830682880).

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

409963099392 is an equidigital number, since it uses as much as digits as its factorization.

409963099392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 409963099392 in words is "four hundred nine billion, nine hundred sixty-three million, ninety-nine thousand, three hundred ninety-two".