1461331641 has 48 divisors (see below), whose sum is σ = 2461261824. Its totient is φ = 754908000.

The previous prime is 1461331633. The next prime is 1461331649.

1461331641 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1461331633) and next prime (1461331649).

It is not a de Polignac number, because 1461331641 - 2³ = 1461331633 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1461331599 and 1461331608.

It is not an unprimeable number, because it can be changed into a prime (1461331649) 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, 483826 + ... + 486836.

It is an arithmetic number, because the mean of its divisors is an integer number (51276288).

Almost surely, 2^1461331641 is an apocalyptic number.

1461331641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1461331641 is a deficient number, since it is larger than the sum of its proper divisors (999930183).

1461331641 is a wasteful number, since it uses less digits than its factorization.

1461331641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3223 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 1461331641 is about 38227.3676964554. The cubic root of 1461331641 is about 1134.7919925180.

The spelling of 1461331641 in words is "one billion, four hundred sixty-one million, three hundred thirty-one thousand, six hundred forty-one".