4660432435440 has 80 divisors (see below), whose sum is σ = 16052600618400. Its totient is φ = 1242781982208.

The previous prime is 4660432435391. The next prime is 4660432435441. The reversal of 4660432435440 is 445342340664.

4660432435440 is a `hidden beast` number, since 4 + 6 + 60 + 4 + 3 + 2 + 43 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660432435441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078801645 + ... + 1078805964.

It is an arithmetic number, because the mean of its divisors is an integer number (200657507730).

Almost surely, 2^{4660432435440} is an apocalyptic number.

4660432435440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4660432435440 is an abundant number, since it is smaller than the sum of its proper divisors (11392168182960).

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

4660432435440 is a wasteful number, since it uses less digits than its factorization.

4660432435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157607631 (or 2157607619 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 4660432435440 in words is "four trillion, six hundred sixty billion, four hundred thirty-two million, four hundred thirty-five thousand, four hundred forty".