4541366706240 has 448 divisors, whose sum is σ = 17773913493504. Its totient is φ = 956685606912.

The previous prime is 4541366706223. The next prime is 4541366706241. The reversal of 4541366706240 is 426076631454.

It is a tau number, because it is divible by the number of its divisors (448).

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 4541366706240.

It is not an unprimeable number, because it can be changed into a prime (4541366706241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56481747 + ... + 56562093.

It is an arithmetic number, because the mean of its divisors is an integer number (39673914048).

Almost surely, 2^{4541366706240} is an apocalyptic number.

4541366706240 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 4541366706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886956746752).

4541366706240 is an abundant number, since it is smaller than the sum of its proper divisors (13232546787264).

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

4541366706240 is a wasteful number, since it uses less digits than its factorization.

4541366706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81034 (or 81024 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 4541366706240 in words is "four trillion, five hundred forty-one billion, three hundred sixty-six million, seven hundred six thousand, two hundred forty".