411288220800 has 216 divisors, whose sum is σ = 1467959077065. Its totient is φ = 109647836160.

The previous prime is 411288220799. The next prime is 411288220807. The reversal of 411288220800 is 8022882114.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 403062456384 + 8225764416 = 634872^2 + 90696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=453480.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (411288220807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108833311 + ... + 108837089.

Almost surely, 2^411288220800 is an apocalyptic number.

411288220800 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 411288220800

411288220800 is an abundant number, since it is smaller than the sum of its proper divisors (1056670856265).

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

411288220800 is an frugal number, since it uses more digits than its factorization.

411288220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 3789 counting only the distinct ones).

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

The spelling of 411288220800 in words is "four hundred eleven billion, two hundred eighty-eight million, two hundred twenty thousand, eight hundred".