411798643200 has 2880 divisors, whose sum is σ = 1993910476800. Its totient is φ = 81218764800.

The previous prime is 411798643163. The next prime is 411798643237. The reversal of 411798643200 is 2346897114.

411798643200 is a `hidden beast` number, since 41 + 179 + 8 + 6 + 432 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (411798643163) and next prime (411798643237).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13283827185 + ... + 13283827215.

Almost surely, 2^411798643200 is an apocalyptic number.

411798643200 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 411798643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996955238400).

411798643200 is an abundant number, since it is smaller than the sum of its proper divisors (1582111833600).

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

411798643200 is a wasteful number, since it uses less digits than its factorization.

411798643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 411798643200 in words is "four hundred eleven billion, seven hundred ninety-eight million, six hundred forty-three thousand, two hundred".