411312030000 has 200 divisors, whose sum is σ = 1370604466176. Its totient is φ = 106144800000.

The previous prime is 411312029959. The next prime is 411312030007. The reversal of 411312030000 is 30213114.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (411312030007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 708865 + ... + 1151135.

Almost surely, 2^411312030000 is an apocalyptic number.

411312030000 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 411312030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685302233088).

411312030000 is an abundant number, since it is smaller than the sum of its proper divisors (959292436176).

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

411312030000 is a wasteful number, since it uses less digits than its factorization.

411312030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442333 (or 442312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 411312030000 its reverse (30213114), we get a palindrome (411342243114).

The spelling of 411312030000 in words is "four hundred eleven billion, three hundred twelve million, thirty thousand".