4617432735240 has 256 divisors, whose sum is σ = 14950118937600. Its totient is φ = 1134144405504.

The previous prime is 4617432735229. The next prime is 4617432735259. The reversal of 4617432735240 is 425372347164.

It is a self number, because there is not a number n which added to its sum of digits gives 4617432735240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2231720926 + ... + 2231722994.

It is an arithmetic number, because the mean of its divisors is an integer number (58398902100).

Almost surely, 2^{4617432735240} is an apocalyptic number.

4617432735240 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 4617432735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475059468800).

4617432735240 is an abundant number, since it is smaller than the sum of its proper divisors (10332686202360).

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

4617432735240 is a wasteful number, since it uses less digits than its factorization.

4617432735240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 4617432735240 in words is "four trillion, six hundred seventeen billion, four hundred thirty-two million, seven hundred thirty-five thousand, two hundred forty".