1041292800 has 480 divisors, whose sum is σ = 4018671360. Its totient is φ = 263577600.

The previous prime is 1041292793. The next prime is 1041292841. The reversal of 1041292800 is 82921401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7948735 + ... + 7948865.

It is an arithmetic number, because the mean of its divisors is an integer number (8372232).

Almost surely, 2^1041292800 is an apocalyptic number.

1041292800 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 1041292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009335680).

1041292800 is an abundant number, since it is smaller than the sum of its proper divisors (2977378560).

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

1041292800 is a wasteful number, since it uses less digits than its factorization.

1041292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1041292800 is about 32269.0687811099. The cubic root of 1041292800 is about 1013.5790416789.

It can be divided in two parts, 104129 and 2800, that added together give a square (106929 = 327²).

The spelling of 1041292800 in words is "one billion, forty-one million, two hundred ninety-two thousand, eight hundred".