409840643100 has 144 divisors (see below), whose sum is σ = 1367640243200. Its totient is φ = 92818379520.

The previous prime is 409840643089. The next prime is 409840643129. The reversal of 409840643100 is 1346048904.

It is a happy number.

It is a super-2 number, since 2×409840643100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666340 + ... + 1124139.

Almost surely, 2^409840643100 is an apocalyptic number.

It is an amenable number.

409840643100 is an abundant number, since it is smaller than the sum of its proper divisors (957799600100).

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

409840643100 is a wasteful number, since it uses less digits than its factorization.

409840643100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790612 (or 1790605 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 409840643100 in words is "four hundred nine billion, eight hundred forty million, six hundred forty-three thousand, one hundred".