412053030200 has 96 divisors (see below), whose sum is σ = 1095296563200. Its totient is φ = 141222061440.

The previous prime is 412053030167. The next prime is 412053030211. The reversal of 412053030200 is 2030350214.

It is a happy number.

It is a super-2 number, since 2×412053030200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3752477 + ... + 3860723.

It is an arithmetic number, because the mean of its divisors is an integer number (11409339200).

Almost surely, 2^412053030200 is an apocalyptic number.

412053030200 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 412053030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547648281600).

412053030200 is an abundant number, since it is smaller than the sum of its proper divisors (683243533000).

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

412053030200 is a wasteful number, since it uses less digits than its factorization.

412053030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110989 (or 110980 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 412053030200 its reverse (2030350214), we get a palindrome (414083380414).

The spelling of 412053030200 in words is "four hundred twelve billion, fifty-three million, thirty thousand, two hundred".