409940934100 has 72 divisors (see below), whose sum is σ = 919018623488. Its totient is φ = 158557046400.

The previous prime is 409940934089. The next prime is 409940934121. The reversal of 409940934100 is 1439049904.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3781249 + ... + 3888151.

Almost surely, 2^409940934100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409940934100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459509311744).

409940934100 is an abundant number, since it is smaller than the sum of its proper divisors (509077689388).

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

409940934100 is a wasteful number, since it uses less digits than its factorization.

409940934100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108185 (or 108178 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 409940934100 in words is "four hundred nine billion, nine hundred forty million, nine hundred thirty-four thousand, one hundred".