410201880480 has 384 divisors, whose sum is σ = 1641738792960. Its totient is φ = 93707228160.

The previous prime is 410201880469. The next prime is 410201880497. The reversal of 410201880480 is 84088102014.

It is a happy number.

410201880480 is a `hidden beast` number, since 410 + 20 + 188 + 0 + 48 + 0 = 666.

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

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, 82582957 + ... + 82587923.

It is an arithmetic number, because the mean of its divisors is an integer number (4275361440).

Almost surely, 2^410201880480 is an apocalyptic number.

410201880480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410201880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820869396480).

410201880480 is an abundant number, since it is smaller than the sum of its proper divisors (1231536912480).

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

410201880480 is a wasteful number, since it uses less digits than its factorization.

410201880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Adding to 410201880480 its reverse (84088102014), we get a palindrome (494289982494).

The spelling of 410201880480 in words is "four hundred ten billion, two hundred one million, eight hundred eighty thousand, four hundred eighty".