1040048100 has 720 divisors, whose sum is σ = 4446465408. Its totient is φ = 204042240.

The previous prime is 1040048099. The next prime is 1040048131. The reversal of 1040048100 is 18400401.

It is a super-2 number, since 2×1040048100² = 2163400100627220000, which contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12530659 + ... + 12530741.

Almost surely, 2^1040048100 is an apocalyptic number.

1040048100 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 1040048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223232704).

1040048100 is an abundant number, since it is smaller than the sum of its proper divisors (3406417308).

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

1040048100 is a wasteful number, since it uses less digits than its factorization.

1040048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1040048100 is about 32249.7767434133. The cubic root of 1040048100 is about 1013.1750231202.

Adding to 1040048100 its reverse (18400401), we get a palindrome (1058448501).

The spelling of 1040048100 in words is "one billion, forty million, forty-eight thousand, one hundred".