4060777006080 has 264 divisors, whose sum is σ = 14397714220032. Its totient is φ = 1057690238976.

The previous prime is 4060777006079. The next prime is 4060777006109. The reversal of 4060777006080 is 806007770604.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956737 + ... + 3006143.

It is an arithmetic number, because the mean of its divisors is an integer number (54536796288).

Almost surely, 2^{4060777006080} is an apocalyptic number.

4060777006080 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 4060777006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198857110016).

4060777006080 is an abundant number, since it is smaller than the sum of its proper divisors (10336937213952).

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

4060777006080 is a wasteful number, since it uses less digits than its factorization.

4060777006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049481 (or 2049460 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 4060777006080 in words is "four trillion, sixty billion, seven hundred seventy-seven million, six thousand, eighty".