409198213501 has 64 divisors (see below), whose sum is σ = 565659648000. Its totient is φ = 292327963200.

The previous prime is 409198213493. The next prime is 409198213507. The reversal of 409198213501 is 105312891904.

It is not a de Polignac number, because 409198213501 - 2³ = 409198213493 is a prime.

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 Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409198213507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2130231 + ... + 2314363.

It is an arithmetic number, because the mean of its divisors is an integer number (8838432000).

Almost surely, 2^409198213501 is an apocalyptic number.

It is an amenable number.

409198213501 is a deficient number, since it is larger than the sum of its proper divisors (156461434499).

409198213501 is a wasteful number, since it uses less digits than its factorization.

409198213501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184215 (or 184201 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 409198213501 in words is "four hundred nine billion, one hundred ninety-eight million, two hundred thirteen thousand, five hundred one".