4642655607040 has 144 divisors (see below), whose sum is σ = 12134740677696. Its totient is φ = 1687797964800.

The previous prime is 4642655607019. The next prime is 4642655607043. The reversal of 4642655607040 is 407065562464.

It is not an unprimeable number, because it can be changed into a prime (4642655607043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56574679 + ... + 56656681.

It is an arithmetic number, because the mean of its divisors is an integer number (84269032484).

Almost surely, 2^{4642655607040} is an apocalyptic number.

4642655607040 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 4642655607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067370338848).

4642655607040 is an abundant number, since it is smaller than the sum of its proper divisors (7492085070656).

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

4642655607040 is a wasteful number, since it uses less digits than its factorization.

4642655607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86056 (or 86042 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 4642655607040 in words is "four trillion, six hundred forty-two billion, six hundred fifty-five million, six hundred seven thousand, forty".