4609056800640 has 256 divisors, whose sum is σ = 15221985030720. Its totient is φ = 1185278459904.

The previous prime is 4609056800629. The next prime is 4609056800653. The reversal of 4609056800640 is 460086509064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4609056800640.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7740442 + ... + 8314598.

Almost surely, 2^{4609056800640} is an apocalyptic number.

4609056800640 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 4609056800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610992515360).

4609056800640 is an abundant number, since it is smaller than the sum of its proper divisors (10612928230080).

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

4609056800640 is a wasteful number, since it uses less digits than its factorization.

4609056800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574329 (or 574317 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 4609056800640 in words is "four trillion, six hundred nine billion, fifty-six million, eight hundred thousand, six hundred forty".