4669279655040 has 5120 divisors, whose sum is σ = 24363937382400. Its totient is φ = 819831767040.

The previous prime is 4669279655017. The next prime is 4669279655071. The reversal of 4669279655040 is 405569729664.

4669279655040 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 2 + 79 + 6 + 550 + 4 + 0 = 666.

It is a super-2 number, since 2×4669279655040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 59104805721 + ... + 59104805799.

It is an arithmetic number, because the mean of its divisors is an integer number (4758581520).

Almost surely, 2^{4669279655040} is an apocalyptic number.

4669279655040 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 4669279655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181968691200).

4669279655040 is an abundant number, since it is smaller than the sum of its proper divisors (19694657727360).

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

4669279655040 is a wasteful number, since it uses less digits than its factorization.

4669279655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4669279655040 in words is "four trillion, six hundred sixty-nine billion, two hundred seventy-nine million, six hundred fifty-five thousand, forty".