1041214200 has 192 divisors, whose sum is σ = 3506025600. Its totient is φ = 254092800.

The previous prime is 1041214159. The next prime is 1041214201. The reversal of 1041214200 is 24121401.

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 1041214200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041214201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021291 + ... + 1022309.

It is an arithmetic number, because the mean of its divisors is an integer number (18260550).

Almost surely, 2^1041214200 is an apocalyptic number.

1041214200 is a gapful number since it is divisible by the number (10) 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 1041214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753012800).

1041214200 is an abundant number, since it is smaller than the sum of its proper divisors (2464811400).

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

1041214200 is a wasteful number, since it uses less digits than its factorization.

1041214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

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

The square root of 1041214200 is about 32267.8508735862. The cubic root of 1041214200 is about 1013.5535383439.

Adding to 1041214200 its reverse (24121401), we get a palindrome (1065335601).

The spelling of 1041214200 in words is "one billion, forty-one million, two hundred fourteen thousand, two hundred".