1004221140 has 192 divisors, whose sum is σ = 3146035200. Its totient is φ = 237758976.

The previous prime is 1004221109. The next prime is 1004221171. The reversal of 1004221140 is 411224001.

It is an interprime number because it is at equal distance from previous prime (1004221109) and next prime (1004221171).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649471 + ... + 2649849.

It is an arithmetic number, because the mean of its divisors is an integer number (16385600).

Almost surely, 2^1004221140 is an apocalyptic number.

1004221140 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 1004221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573017600).

1004221140 is an abundant number, since it is smaller than the sum of its proper divisors (2141814060).

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

1004221140 is a wasteful number, since it uses less digits than its factorization.

1004221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

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

The square root of 1004221140 is about 31689.4484016368. The cubic root of 1004221140 is about 1001.4050715161.

Adding to 1004221140 its reverse (411224001), we get a palindrome (1415445141).

The spelling of 1004221140 in words is "one billion, four million, two hundred twenty-one thousand, one hundred forty".