1461335040 has 528 divisors, whose sum is σ = 5854092480. Its totient is φ = 342835200.

The previous prime is 1461335033. The next prime is 1461335077. The reversal of 1461335040 is 405331641.

1461335040 is a `hidden beast` number, since 1 + 4 + 613 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1461334995 and 1461335013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47139825 + ... + 47139855.

Almost surely, 2^1461335040 is an apocalyptic number.

1461335040 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 1461335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927046240).

1461335040 is an abundant number, since it is smaller than the sum of its proper divisors (4392757440).

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

1461335040 is a wasteful number, since it uses less digits than its factorization.

1461335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1461335040 is about 38227.4121541074. The cubic root of 1461335040 is about 1134.7928723445.

Adding to 1461335040 its reverse (405331641), we get a palindrome (1866666681).

The spelling of 1461335040 in words is "one billion, four hundred sixty-one million, three hundred thirty-five thousand, forty".