1461611440 has 40 divisors (see below), whose sum is σ = 3430026000. Its totient is φ = 579177216.

The previous prime is 1461611413. The next prime is 1461611443. The reversal of 1461611440 is 441161641.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1461611399 and 1461611408.

It is not an unprimeable number, because it can be changed into a prime (1461611443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76815 + ... + 93934.

It is an arithmetic number, because the mean of its divisors is an integer number (85750650).

Almost surely, 2^1461611440 is an apocalyptic number.

1461611440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461611440 is an abundant number, since it is smaller than the sum of its proper divisors (1968414560).

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

1461611440 is a wasteful number, since it uses less digits than its factorization.

1461611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170869 (or 170863 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1461611440 is about 38231.0271899671. The cubic root of 1461611440 is about 1134.8644135422.

The spelling of 1461611440 in words is "one billion, four hundred sixty-one million, six hundred eleven thousand, four hundred forty".