4607981249280 has 288 divisors, whose sum is σ = 15125686861824. Its totient is φ = 1194982883328.

The previous prime is 4607981249273. The next prime is 4607981249281. The reversal of 4607981249280 is 829421897064.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4607981249281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28254049 + ... + 28416671.

It is an arithmetic number, because the mean of its divisors is an integer number (52519746048).

Almost surely, 2^{4607981249280} is an apocalyptic number.

4607981249280 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 4607981249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562843430912).

4607981249280 is an abundant number, since it is smaller than the sum of its proper divisors (10517705612544).

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

4607981249280 is a wasteful number, since it uses less digits than its factorization.

4607981249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162851 (or 162837 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 4607981249280 in words is "four trillion, six hundred seven billion, nine hundred eighty-one million, two hundred forty-nine thousand, two hundred eighty".