1041958400 has 240 divisors, whose sum is σ = 3059670240. Its totient is φ = 344064000.

The previous prime is 1041958387. The next prime is 1041958417. The reversal of 1041958400 is 48591401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2598200 + ... + 2598600.

It is an arithmetic number, because the mean of its divisors is an integer number (12748626).

Almost surely, 2^1041958400 is an apocalyptic number.

1041958400 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 1041958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529835120).

1041958400 is an abundant number, since it is smaller than the sum of its proper divisors (2017711840).

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

1041958400 is an equidigital number, since it uses as much as digits as its factorization.

1041958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1041958400 is about 32279.3804153673. The cubic root of 1041958400 is about 1013.7949574191.

The spelling of 1041958400 in words is "one billion, forty-one million, nine hundred fifty-eight thousand, four hundred".