4306040455680 has 400 divisors, whose sum is σ = 15456531682944. Its totient is φ = 1145771827200.

The previous prime is 4306040455627. The next prime is 4306040455721. The reversal of 4306040455680 is 865540406034.

4306040455680 is a `hidden beast` number, since 4 + 3 + 0 + 6 + 0 + 40 + 45 + 568 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95985255 + ... + 96030105.

Almost surely, 2^{4306040455680} is an apocalyptic number.

4306040455680 is a gapful number since it is divisible by the number (40) 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 4306040455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728265841472).

4306040455680 is an abundant number, since it is smaller than the sum of its proper divisors (11150491227264).

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

4306040455680 is an equidigital number, since it uses as much as digits as its factorization.

4306040455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45349 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4306040455680 in words is "four trillion, three hundred six billion, forty million, four hundred fifty-five thousand, six hundred eighty".