4516131945920 has 280 divisors, whose sum is σ = 12884784821184. Its totient is φ = 1506530285568.

The previous prime is 4516131945917. The next prime is 4516131945959. The reversal of 4516131945920 is 295491316154.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28348409 + ... + 28507271.

Almost surely, 2^{4516131945920} is an apocalyptic number.

4516131945920 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 4516131945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442392410592).

4516131945920 is an abundant number, since it is smaller than the sum of its proper divisors (8368652875264).

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

4516131945920 is an equidigital number, since it uses as much as digits as its factorization.

4516131945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158945 (or 158914 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 4516131945920 in words is "four trillion, five hundred sixteen billion, one hundred thirty-one million, nine hundred forty-five thousand, nine hundred twenty".