1041640400 has 30 divisors (see below), whose sum is σ = 2502542022. Its totient is φ = 416656000.

The previous prime is 1041640387. The next prime is 1041640403. The reversal of 1041640400 is 40461401.

It is a happy number.

1041640400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 130325056 + 911315344 = 11416^2 + 30188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041640403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1301651 + ... + 1302450.

Almost surely, 2^1041640400 is an apocalyptic number.

1041640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041640400 is an abundant number, since it is smaller than the sum of its proper divisors (1460901622).

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

1041640400 is a wasteful number, since it uses less digits than its factorization.

1041640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604119 (or 2604108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1041640400 is about 32274.4542943796. The cubic root of 1041640400 is about 1013.6918120348.

The spelling of 1041640400 in words is "one billion, forty-one million, six hundred forty thousand, four hundred".