1461441696 has 288 divisors, whose sum is σ = 4781306880. Its totient is φ = 386380800.

The previous prime is 1461441661. The next prime is 1461441697. The reversal of 1461441696 is 6961441641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461441697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390601 + ... + 3391031.

It is an arithmetic number, because the mean of its divisors is an integer number (16601760).

Almost surely, 2^1461441696 is an apocalyptic number.

1461441696 is a gapful number since it is divisible by the number (16) 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 1461441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390653440).

1461441696 is an abundant number, since it is smaller than the sum of its proper divisors (3319865184).

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

1461441696 is a wasteful number, since it uses less digits than its factorization.

1461441696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1461441696 is about 38228.8071485366. The cubic root of 1461441696 is about 1134.8204794118.

Subtracting 1461441696 from its reverse (6961441641), we obtain a palindrome (5499999945).

The spelling of 1461441696 in words is "one billion, four hundred sixty-one million, four hundred forty-one thousand, six hundred ninety-six".