1041998400 has 189 divisors, whose sum is σ = 3717327211. Its totient is φ = 276833280.

The previous prime is 1041998393. The next prime is 1041998407. The reversal of 1041998400 is 48991401.

The square root of 1041998400 is 32280.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1041998393) and next prime (1041998407).

It can be written as a sum of positive squares in 4 ways, for example, as 399680064 + 642318336 = 19992^2 + 25344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041998407) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3873466 + ... + 3873734.

Almost surely, 2^1041998400 is an apocalyptic number.

1041998400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041998400 is the 32280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041998400

1041998400 is an abundant number, since it is smaller than the sum of its proper divisors (2675328811).

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

1041998400 is an equidigital number, since it uses as much as digits as its factorization.

1041998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 1041998400 is about 1013.8079301953.

Multiplying 1041998400 by its sum of digits (36), we get a square (37511942400 = 193680²).

1041998400 divided by its sum of digits (36) gives a square (28944400 = 5380²).

The spelling of 1041998400 in words is "one billion, forty-one million, nine hundred ninety-eight thousand, four hundred".