1040211200 has 324 divisors, whose sum is σ = 3120550272. Its totient is φ = 341913600.

The previous prime is 1040211199. The next prime is 1040211257. The reversal of 1040211200 is 21120401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9721547 + ... + 9721653.

It is an arithmetic number, because the mean of its divisors is an integer number (9631328).

Almost surely, 2^1040211200 is an apocalyptic number.

1040211200 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 1040211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560275136).

1040211200 is an abundant number, since it is smaller than the sum of its proper divisors (2080339072).

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

1040211200 is a wasteful number, since it uses less digits than its factorization.

1040211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1040211200 is about 32252.3053439595. The cubic root of 1040211200 is about 1013.2279822763.

Adding to 1040211200 its reverse (21120401), we get a palindrome (1061331601).

The spelling of 1040211200 in words is "one billion, forty million, two hundred eleven thousand, two hundred".