4820261150016 has 672 divisors, whose sum is σ = 16068852800000. Its totient is φ = 1368801939456.

The previous prime is 4820261149943. The next prime is 4820261150039. The reversal of 4820261150016 is 6100511620284.

It is a happy number.

4820261150016 is a `hidden beast` number, since 4 + 8 + 20 + 2 + 611 + 5 + 0 + 0 + 16 = 666.

It is a super-3 number, since 3×4820261150016³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3052729515 + ... + 3052731093.

Almost surely, 2^{4820261150016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820261150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034426400000).

4820261150016 is an abundant number, since it is smaller than the sum of its proper divisors (11248591649984).

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

4820261150016 is a wasteful number, since it uses less digits than its factorization.

4820261150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 4820261150016 in words is "four trillion, eight hundred twenty billion, two hundred sixty-one million, one hundred fifty thousand, sixteen".