410260096620 has 1152 divisors, whose sum is σ = 1540678164480. Its totient is φ = 87220224000.

The previous prime is 410260096577. The next prime is 410260096663. The reversal of 410260096620 is 26690062014.

410260096620 is a `hidden beast` number, since 4 + 1 + 0 + 26 + 0 + 0 + 9 + 6 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (410260096577) and next prime (410260096663).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5193165741 + ... + 5193165819.

It is an arithmetic number, because the mean of its divisors is an integer number (1337394240).

Almost surely, 2^410260096620 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 410260096620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770339082240).

410260096620 is an abundant number, since it is smaller than the sum of its proper divisors (1130418067860).

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

410260096620 is a wasteful number, since it uses less digits than its factorization.

410260096620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 410260096620 in words is "four hundred ten billion, two hundred sixty million, ninety-six thousand, six hundred twenty".