411422002233000 has 1024 divisors, whose sum is σ = 1510863188889600. Its totient is φ = 92100096000000.

The previous prime is 411422002232993. The next prime is 411422002233043. The reversal of 411422002233000 is 332200224114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9434315196 + ... + 9434358804.

It is an arithmetic number, because the mean of its divisors is an integer number (1475452332900).

Almost surely, 2^{411422002233000} is an apocalyptic number.

411422002233000 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 411422002233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755431594444800).

411422002233000 is an abundant number, since it is smaller than the sum of its proper divisors (1099441186656600).

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

411422002233000 is a wasteful number, since it uses less digits than its factorization.

411422002233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43979 (or 43965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 411422002233000 its reverse (332200224114), we get a palindrome (411754202457114).

The spelling of 411422002233000 in words is "four hundred eleven trillion, four hundred twenty-two billion, two million, two hundred thirty-three thousand".