1041210400 has 72 divisors (see below), whose sum is σ = 2547844740. Its totient is φ = 415503360.

The previous prime is 1041210371. The next prime is 1041210421. The reversal of 1041210400 is 40121401.

1041210400 is digitally balanced in base 6, 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 6 ways, for example, as 512026384 + 529184016 = 22628^2 + 23004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405922 + ... + 408478.

Almost surely, 2^1041210400 is an apocalyptic number.

1041210400 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 1041210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273922370).

1041210400 is an abundant number, since it is smaller than the sum of its proper divisors (1506634340).

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

1041210400 is a wasteful number, since it uses less digits than its factorization.

1041210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1041210400 is about 32267.7919913960. The cubic root of 1041210400 is about 1013.5523053257.

Adding to 1041210400 its reverse (40121401), we get a palindrome (1081331801).

The spelling of 1041210400 in words is "one billion, forty-one million, two hundred ten thousand, four hundred".