4010606680320 has 1152 divisors, whose sum is σ = 15060584448000. Its totient is φ = 1021851500544.

The previous prime is 4010606680319. The next prime is 4010606680369. The reversal of 4010606680320 is 230866060104.

4010606680320 is a `hidden beast` number, since 4 + 0 + 10 + 606 + 6 + 8 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10310042686 + ... + 10310043074.

It is an arithmetic number, because the mean of its divisors is an integer number (13073424000).

Almost surely, 2^{4010606680320} is an apocalyptic number.

4010606680320 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 4010606680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530292224000).

4010606680320 is an abundant number, since it is smaller than the sum of its proper divisors (11049977767680).

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

4010606680320 is an equidigital number, since it uses as much as digits as its factorization.

4010606680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4010606680320 in words is "four trillion, ten billion, six hundred six million, six hundred eighty thousand, three hundred twenty".