1411618560 has 288 divisors, whose sum is σ = 5135574528. Its totient is φ = 327106560.

The previous prime is 1411618553. The next prime is 1411618567. The reversal of 1411618560 is 658161141.

It is an interprime number because it is at equal distance from previous prime (1411618553) and next prime (1411618567).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411618567) 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 31 ways as a sum of consecutive naturals, for example, 970794 + ... + 972246.

It is an arithmetic number, because the mean of its divisors is an integer number (17831856).

Almost surely, 2^1411618560 is an apocalyptic number.

1411618560 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 1411618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567787264).

1411618560 is an abundant number, since it is smaller than the sum of its proper divisors (3723955968).

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

1411618560 is a wasteful number, since it uses less digits than its factorization.

1411618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1411618560 is about 37571.5126126165. The cubic root of 1411618560 is about 1121.7750763701.

The spelling of 1411618560 in words is "one billion, four hundred eleven million, six hundred eighteen thousand, five hundred sixty".