409121959125 has 64 divisors (see below), whose sum is σ = 742929408000. Its totient is φ = 198292328000.

The previous prime is 409121959117. The next prime is 409121959151. The reversal of 409121959125 is 521959121904.

It is a happy number.

It is not a de Polignac number, because 409121959125 - 2³ = 409121959117 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12849976 + ... + 12881774.

It is an arithmetic number, because the mean of its divisors is an integer number (11608272000).

Almost surely, 2^409121959125 is an apocalyptic number.

It is an amenable number.

409121959125 is a deficient number, since it is larger than the sum of its proper divisors (333807448875).

409121959125 is a wasteful number, since it uses less digits than its factorization.

409121959125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34947 (or 34937 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The spelling of 409121959125 in words is "four hundred nine billion, one hundred twenty-one million, nine hundred fifty-nine thousand, one hundred twenty-five".