1040146560 has 192 divisors, whose sum is σ = 3633903000. Its totient is φ = 274120704.

The previous prime is 1040146543. The next prime is 1040146573. The reversal of 1040146560 is 656410401.

1040146560 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 4 + 656 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 960008256 + 80138304 = 30984^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511626 + ... + 513654.

Almost surely, 2^1040146560 is an apocalyptic number.

1040146560 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 1040146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816951500).

1040146560 is an abundant number, since it is smaller than the sum of its proper divisors (2593756440).

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

1040146560 is a wasteful number, since it uses less digits than its factorization.

1040146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1040146560 is about 32251.3032294821. The cubic root of 1040146560 is about 1013.2069940983.

Adding to 1040146560 its reverse (656410401), we get a palindrome (1696556961).

The spelling of 1040146560 in words is "one billion, forty million, one hundred forty-six thousand, five hundred sixty".