1040213000 has 128 divisors (see below), whose sum is σ = 2639070720. Its totient is φ = 382233600.

The previous prime is 1040212991. The next prime is 1040213003. The reversal of 1040213000 is 3120401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1040213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730289 + ... + 731711.

It is an arithmetic number, because the mean of its divisors is an integer number (20617740).

Almost surely, 2^1040213000 is an apocalyptic number.

1040213000 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 1040213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319535360).

1040213000 is an abundant number, since it is smaller than the sum of its proper divisors (1598857720).

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

1040213000 is a wasteful number, since it uses less digits than its factorization.

1040213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1040213000 is about 32252.3332489294. Note that the first 3 decimals coincide. The cubic root of 1040213000 is about 1013.2285667118.

Adding to 1040213000 its reverse (3120401), we get a palindrome (1043333401).

The spelling of 1040213000 in words is "one billion, forty million, two hundred thirteen thousand".