1041021072 has 450 divisors, whose sum is σ = 3834414738. Its totient is φ = 271724544.

The previous prime is 1041021049. The next prime is 1041021133. The reversal of 1041021072 is 2701201401.

It can be written as a sum of positive squares in 3 ways, for example, as 571536 + 1040449536 = 756^2 + 32256^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10732128 + ... + 10732224.

Almost surely, 2^1041021072 is an apocalyptic number.

1041021072 is a gapful number since it is divisible by the number (12) 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 1041021072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917207369).

1041021072 is an abundant number, since it is smaller than the sum of its proper divisors (2793393666).

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

1041021072 is a wasteful number, since it uses less digits than its factorization.

1041021072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1041021072 is about 32264.8581586840. The cubic root of 1041021072 is about 1013.4908686673.

Adding to 1041021072 its reverse (2701201401), we get a palindrome (3742222473).

The spelling of 1041021072 in words is "one billion, forty-one million, twenty-one thousand, seventy-two".