4066001520 has 640 divisors, whose sum is σ = 16456089600. Its totient is φ = 808206336.

The previous prime is 4066001507. The next prime is 4066001531. The reversal of 4066001520 is 251006604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 32015697 + ... + 32015823.

It is an arithmetic number, because the mean of its divisors is an integer number (25712640).

Almost surely, 2^4066001520 is an apocalyptic number.

4066001520 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 4066001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228044800).

4066001520 is an abundant number, since it is smaller than the sum of its proper divisors (12390088080).

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

4066001520 is a wasteful number, since it uses less digits than its factorization.

4066001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4066001520 is about 63765.2061864462. The cubic root of 4066001520 is about 1596.0843731502.

The spelling of 4066001520 in words is "four billion, sixty-six million, one thousand, five hundred twenty".