4620121012080 has 1280 divisors, whose sum is σ = 20285558784000. Its totient is φ = 961765539840.

The previous prime is 4620121012021. The next prime is 4620121012081. The reversal of 4620121012080 is 802101210264.

4620121012080 is a `hidden beast` number, since 4 + 620 + 1 + 2 + 10 + 1 + 20 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4620121012081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 390437844 + ... + 390449676.

It is an arithmetic number, because the mean of its divisors is an integer number (15848092800).

Almost surely, 2^{4620121012080} is an apocalyptic number.

4620121012080 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 4620121012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142779392000).

4620121012080 is an abundant number, since it is smaller than the sum of its proper divisors (15665437771920).

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

4620121012080 is a wasteful number, since it uses less digits than its factorization.

4620121012080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11924 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 4620121012080 in words is "four trillion, six hundred twenty billion, one hundred twenty-one million, twelve thousand, eighty".