1040221440 has 360 divisors, whose sum is σ = 3798896640. Its totient is φ = 271724544.

The previous prime is 1040221433. The next prime is 1040221463. The reversal of 1040221440 is 441220401.

1040221440 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 221 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8190657 + ... + 8190783.

Almost surely, 2^1040221440 is an apocalyptic number.

1040221440 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 1040221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899448320).

1040221440 is an abundant number, since it is smaller than the sum of its proper divisors (2758675200).

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

1040221440 is an equidigital number, since it uses as much as digits as its factorization.

1040221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1040221440 is about 32252.4640919109. The cubic root of 1040221440 is about 1013.2313070564.

Adding to 1040221440 its reverse (441220401), we get a palindrome (1481441841).

The spelling of 1040221440 in words is "one billion, forty million, two hundred twenty-one thousand, four hundred forty".