409963100004 has 18 divisors (see below), whose sum is σ = 1036295613990. Its totient is φ = 136654366656.

The previous prime is 409963099993. The next prime is 409963100011. The reversal of 409963100004 is 400001369904.

It can be written as a sum of positive squares in only one way, i.e., 231744034404 + 178219065600 = 481398^2 + 422160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11387863889 = 409963100004 / (4 + 0 + 9 + 9 + 6 + 3 + 1 + 0 + 0 + 0 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5693931909 + ... + 5693931980.

It is an arithmetic number, because the mean of its divisors is an integer number (57571978555).

Almost surely, 2^409963100004 is an apocalyptic number.

It is an amenable number.

409963100004 is an abundant number, since it is smaller than the sum of its proper divisors (626332513986).

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

409963100004 is a wasteful number, since it uses less digits than its factorization.

409963100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11387863899 (or 11387863894 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 409963100004 its reverse (400001369904), we get a palindrome (809964469908).

The spelling of 409963100004 in words is "four hundred nine billion, nine hundred sixty-three million, one hundred thousand, four".