1041953120 has 192 divisors, whose sum is σ = 2850059520. Its totient is φ = 356548608.

The previous prime is 1041953057. The next prime is 1041953161. The reversal of 1041953120 is 213591401.

1041953120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1041953120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2793254 + ... + 2793626.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2^1041953120 is an apocalyptic number.

1041953120 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 1041953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

1041953120 is an abundant number, since it is smaller than the sum of its proper divisors (1808106400).

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

1041953120 is a wasteful number, since it uses less digits than its factorization.

1041953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1041953120 is about 32279.2986293073. The cubic root of 1041953120 is about 1013.7932449878.

The spelling of 1041953120 in words is "one billion, forty-one million, nine hundred fifty-three thousand, one hundred twenty".