1041955200 has 864 divisors, whose sum is σ = 4592362320. Its totient is φ = 223027200.

The previous prime is 1041955171. The next prime is 1041955247. The reversal of 1041955200 is 25591401.

1041955200 is a `hidden beast` number, since 10 + 41 + 95 + 520 + 0 = 666.

1041955200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45302389 + ... + 45302411.

Almost surely, 2^1041955200 is an apocalyptic number.

1041955200 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 1041955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296181160).

1041955200 is an abundant number, since it is smaller than the sum of its proper divisors (3550407120).

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

1041955200 is a wasteful number, since it uses less digits than its factorization.

1041955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1041955200 is about 32279.3308480830. The cubic root of 1041955200 is about 1013.7939195827.

The spelling of 1041955200 in words is "one billion, forty-one million, nine hundred fifty-five thousand, two hundred".