4012411200 has 168 divisors, whose sum is σ = 15044757312. Its totient is φ = 917114880.

The previous prime is 4012411181. The next prime is 4012411211. The reversal of 4012411200 is 21142104.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4012411200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26109 + ... + 93308.

Almost surely, 2^4012411200 is an apocalyptic number.

4012411200 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 4012411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522378656).

4012411200 is an abundant number, since it is smaller than the sum of its proper divisors (11032346112).

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

4012411200 is a wasteful number, since it uses less digits than its factorization.

4012411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119449 (or 119434 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4012411200 is about 63343.5963614318. The cubic root of 4012411200 is about 1589.0411528290.

Adding to 4012411200 its reverse (21142104), we get a palindrome (4033553304).

The spelling of 4012411200 in words is "four billion, twelve million, four hundred eleven thousand, two hundred".