1410042560 has 168 divisors, whose sum is σ = 3630655680. Its totient is φ = 521404416.

The previous prime is 1410042551. The next prime is 1410042563. The reversal of 1410042560 is 652400141.

It is a super-2 number, since 2×1410042560² = 3976440042022707200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1410042563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7305824 + ... + 7306016.

Almost surely, 2^1410042560 is an apocalyptic number.

1410042560 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 1410042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815327840).

1410042560 is an abundant number, since it is smaller than the sum of its proper divisors (2220613120).

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

1410042560 is a wasteful number, since it uses less digits than its factorization.

1410042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1410042560 is about 37550.5334183151. The cubic root of 1410042560 is about 1121.3574527266.

The spelling of 1410042560 in words is "one billion, four hundred ten million, forty-two thousand, five hundred sixty".