16461009540 has 84 divisors (see below), whose sum is σ = 51828516684. Its totient is φ = 4389598656.

The previous prime is 16461009497. The next prime is 16461009557. The reversal of 16461009540 is 4590016461.

16461009540 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 100 + 9 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2398844484 + 14062165056 = 48978^2 + 118584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16461009495 and 16461009504.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 549927 + ... + 579086.

It is an arithmetic number, because the mean of its divisors is an integer number (617006151).

Almost surely, 2^16461009540 is an apocalyptic number.

16461009540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16461009540 is an abundant number, since it is smaller than the sum of its proper divisors (35367507144).

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

16461009540 is a wasteful number, since it uses less digits than its factorization.

16461009540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129040 (or 1129023 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16461009540 in words is "sixteen billion, four hundred sixty-one million, nine thousand, five hundred forty".