4581413689720 has 256 divisors, whose sum is σ = 12008803495680. Its totient is φ = 1540635033600.

The previous prime is 4581413689703. The next prime is 4581413689747. The reversal of 4581413689720 is 279863141854.

It is a congruent number.

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, 4868664450 + ... + 4868665390.

It is an arithmetic number, because the mean of its divisors is an integer number (46909388655).

It is a 1-persistent number, because it is pandigital, but 2⋅4581413689720 = 9162827379440 is not.

Almost surely, 2^{4581413689720} is an apocalyptic number.

4581413689720 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 4581413689720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004401747840).

4581413689720 is an abundant number, since it is smaller than the sum of its proper divisors (7427389805960).

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

4581413689720 is a wasteful number, since it uses less digits than its factorization.

4581413689720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 4581413689720 in words is "four trillion, five hundred eighty-one billion, four hundred thirteen million, six hundred eighty-nine thousand, seven hundred twenty".