4618476343040 has 288 divisors, whose sum is σ = 13107116445696. Its totient is φ = 1525799485440.

The previous prime is 4618476343021. The next prime is 4618476343043. The reversal of 4618476343040 is 403436748164.

It is a self number, because there is not a number n which added to its sum of digits gives 4618476343040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4618476343043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64682399 + ... + 64753761.

It is an arithmetic number, because the mean of its divisors is an integer number (45510820992).

Almost surely, 2^{4618476343040} is an apocalyptic number.

4618476343040 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 4618476343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553558222848).

4618476343040 is an abundant number, since it is smaller than the sum of its proper divisors (8488640102656).

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

4618476343040 is a wasteful number, since it uses less digits than its factorization.

4618476343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71655 (or 71641 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 50.

The spelling of 4618476343040 in words is "four trillion, six hundred eighteen billion, four hundred seventy-six million, three hundred forty-three thousand, forty".