4080768525288 has 864 divisors, whose sum is σ = 14390703250560. Its totient is φ = 1035348894720.

The previous prime is 4080768525241. The next prime is 4080768525367. The reversal of 4080768525288 is 8825258670804.

4080768525288 is a `hidden beast` number, since 4 + 0 + 80 + 7 + 6 + 8 + 525 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6467144733 + ... + 6467145363.

It is an arithmetic number, because the mean of its divisors is an integer number (16655906540).

Almost surely, 2^{4080768525288} 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 4080768525288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195351625280).

4080768525288 is an abundant number, since it is smaller than the sum of its proper divisors (10309934725272).

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

4080768525288 is a wasteful number, since it uses less digits than its factorization.

4080768525288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 4080768525288 in words is "four trillion, eighty billion, seven hundred sixty-eight million, five hundred twenty-five thousand, two hundred eighty-eight".