4645040770240 has 224 divisors, whose sum is σ = 12259967376384. Its totient is φ = 1665690808320.

The previous prime is 4645040770213. The next prime is 4645040770261. The reversal of 4645040770240 is 420770405464.

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 31 ways as a sum of consecutive naturals, for example, 19671757 + ... + 19906483.

It is an arithmetic number, because the mean of its divisors is an integer number (54731997216).

Almost surely, 2^{4645040770240} is an apocalyptic number.

4645040770240 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 4645040770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129983688192).

4645040770240 is an abundant number, since it is smaller than the sum of its proper divisors (7614926606144).

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

4645040770240 is a wasteful number, since it uses less digits than its factorization.

4645040770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234895 (or 234885 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 4645040770240 in words is "four trillion, six hundred forty-five billion, forty million, seven hundred seventy thousand, two hundred forty".