1041544320 has 256 divisors, whose sum is σ = 3460786560. Its totient is φ = 266240000.

The previous prime is 1041544303. The next prime is 1041544331. The reversal of 1041544320 is 234451401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7950655 + ... + 7950785.

Almost surely, 2^1041544320 is an apocalyptic number.

1041544320 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 1041544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730393280).

1041544320 is an abundant number, since it is smaller than the sum of its proper divisors (2419242240).

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

1041544320 is a wasteful number, since it uses less digits than its factorization.

1041544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1041544320 is about 32272.9657763274. The cubic root of 1041544320 is about 1013.6606437275.

Adding to 1041544320 its reverse (234451401), we get a palindrome (1275995721).

The spelling of 1041544320 in words is "one billion, forty-one million, five hundred forty-four thousand, three hundred twenty".