409152122500 has 135 divisors (see below), whose sum is σ = 984314155363. Its totient is φ = 148654660000.

The previous prime is 409152122479. The next prime is 409152122527. The reversal of 409152122500 is 5221251904.

The square root of 409152122500 is 639650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 32077526404 + 377074596096 = 179102^2 + 614064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 351806919 + ... + 351808081.

Almost surely, 2^409152122500 is an apocalyptic number.

409152122500 is the 639650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409152122500

409152122500 is an abundant number, since it is smaller than the sum of its proper divisors (575162032863).

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

409152122500 is an equidigital number, since it uses as much as digits as its factorization.

409152122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 409152122500 in words is "four hundred nine billion, one hundred fifty-two million, one hundred twenty-two thousand, five hundred".