4598786949120 has 2520 divisors, whose sum is σ = 21869644275864. Its totient is φ = 913217421312.

The previous prime is 4598786949089. The next prime is 4598786949161. The reversal of 4598786949120 is 219496878954.

4598786949120 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 78 + 69 + 491 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337105649664 + 4261681299456 = 580608^2 + 2064384^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×4598786949120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 270516879352 + ... + 270516879368.

Almost surely, 2^{4598786949120} is an apocalyptic number.

4598786949120 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 4598786949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10934822137932).

4598786949120 is an abundant number, since it is smaller than the sum of its proper divisors (17270857326744).

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

4598786949120 is an frugal number, since it uses more digits than its factorization.

4598786949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 4598786949120 in words is "four trillion, five hundred ninety-eight billion, seven hundred eighty-six million, nine hundred forty-nine thousand, one hundred twenty".