411100212400 has 60 divisors (see below), whose sum is σ = 987735857992. Its totient is φ = 164428830720.

The previous prime is 411100212359. The next prime is 411100212431. The reversal of 411100212400 is 4212001114.

It is a happy number.

It is a super-2 number, since 2×411100212400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8257984 + ... + 8307616.

Almost surely, 2^411100212400 is an apocalyptic number.

411100212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411100212400 is an abundant number, since it is smaller than the sum of its proper divisors (576635645592).

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

411100212400 is a wasteful number, since it uses less digits than its factorization.

411100212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70358 (or 70347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 411100212400 its reverse (4212001114), we get a palindrome (415312213514).

The spelling of 411100212400 in words is "four hundred eleven billion, one hundred million, two hundred twelve thousand, four hundred".