4601076480000 has 5760 divisors, whose sum is σ = 24500732256000. Its totient is φ = 836075520000.

The previous prime is 4601076479959. The next prime is 4601076480029. The reversal of 4601076480000 is 846701064.

4601076480000 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 0 + 7 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 242161919991 + ... + 242161920009.

It is an arithmetic number, because the mean of its divisors is an integer number (4253599350).

Almost surely, 2^{4601076480000} is an apocalyptic number.

4601076480000 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 4601076480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250366128000).

4601076480000 is an abundant number, since it is smaller than the sum of its proper divisors (19899655776000).

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

4601076480000 is a wasteful number, since it uses less digits than its factorization.

4601076480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4601076480000 in words is "four trillion, six hundred one billion, seventy-six million, four hundred eighty thousand".