409963141 has 16 divisors (see below), whose sum is σ = 484743168. Its totient is φ = 339408000.

The previous prime is 409963129. The next prime is 409963157. The reversal of 409963141 is 141369904.

It is a cyclic number.

It is not a de Polignac number, because 409963141 - 2⁹ = 409962629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409963141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409963121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21916 + ... + 36058.

It is an arithmetic number, because the mean of its divisors is an integer number (30296448).

Almost surely, 2^409963141 is an apocalyptic number.

409963141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

409963141 is a deficient number, since it is larger than the sum of its proper divisors (74780027).

409963141 is a wasteful number, since it uses less digits than its factorization.

409963141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14292.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 409963141 is about 20247.5465427296. The cubic root of 409963141 is about 742.8736213642.

The spelling of 409963141 in words is "four hundred nine million, nine hundred sixty-three thousand, one hundred forty-one".