1041040000 has 480 divisors, whose sum is σ = 3498755040. Its totient is φ = 299520000.

The previous prime is 1041039997. The next prime is 1041040003. The reversal of 1041040000 is 401401.

It is an interprime number because it is at equal distance from previous prime (1041039997) and next prime (1041040003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041040003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80079994 + ... + 80080006.

It is an arithmetic number, because the mean of its divisors is an integer number (7289073).

Almost surely, 2^1041040000 is an apocalyptic number.

1041040000 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 1041040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749377520).

1041040000 is an abundant number, since it is smaller than the sum of its proper divisors (2457715040).

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

1041040000 is an equidigital number, since it uses as much as digits as its factorization.

1041040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1041040000 is about 32265.1514795762. The cubic root of 1041040000 is about 1013.4970111107.

Adding to 1041040000 its reverse (401401), we get a palindrome (1041441401).

It can be divided in two parts, 104 and 1040000, that multiplied together give a square (108160000 = 10400²).

The spelling of 1041040000 in words is "one billion, forty-one million, forty thousand".