8010601520040 has 1152 divisors, whose sum is σ = 32074552074240. Its totient is φ = 1698013642752.

The previous prime is 8010601520029. The next prime is 8010601520063. The reversal of 8010601520040 is 400251060108.

8010601520040 is a `hidden beast` number, since 8 + 0 + 1 + 0 + 601 + 52 + 0 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8010601519986 and 8010601520013.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23770330752 + ... + 23770331088.

It is an arithmetic number, because the mean of its divisors is an integer number (27842493120).

Almost surely, 2^{8010601520040} 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 8010601520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037276037120).

8010601520040 is an abundant number, since it is smaller than the sum of its proper divisors (24063950554200).

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

8010601520040 is a wasteful number, since it uses less digits than its factorization.

8010601520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 8010601520040 its reverse (400251060108), we get a palindrome (8410852580148).

The spelling of 8010601520040 in words is "eight trillion, ten billion, six hundred one million, five hundred twenty thousand, forty".