1040022720 has 448 divisors, whose sum is σ = 4143329280. Its totient is φ = 243302400.

The previous prime is 1040022713. The next prime is 1040022743. The reversal of 1040022720 is 272200401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1040022693 and 1040022702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946064 + ... + 2946416.

Almost surely, 2^1040022720 is an apocalyptic number.

1040022720 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 1040022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071664640).

1040022720 is an abundant number, since it is smaller than the sum of its proper divisors (3103306560).

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

1040022720 is a wasteful number, since it uses less digits than its factorization.

1040022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1040022720 is about 32249.3832499166. The cubic root of 1040022720 is about 1013.1667816452.

The spelling of 1040022720 in words is "one billion, forty million, twenty-two thousand, seven hundred twenty".