4167080655440 has 80 divisors (see below), whose sum is σ = 9868837260240. Its totient is φ = 1636073472000.

The previous prime is 4167080655401. The next prime is 4167080655467. The reversal of 4167080655440 is 445560807614.

4167080655440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28394946064 + 4138685709376 = 168508^2 + 2034376^2 .

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

It is a super-2 number, since 2×4167080655440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160561 + ... + 3111440.

It is an arithmetic number, because the mean of its divisors is an integer number (123360465753).

Almost surely, 2^{4167080655440} is an apocalyptic number.

4167080655440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4167080655440 is an abundant number, since it is smaller than the sum of its proper divisors (5701756604800).

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

4167080655440 is a wasteful number, since it uses less digits than its factorization.

4167080655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272240 (or 4272234 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 4167080655440 in words is "four trillion, one hundred sixty-seven billion, eighty million, six hundred fifty-five thousand, four hundred forty".