4001662720 has 144 divisors (see below), whose sum is σ = 10680864768. Its totient is φ = 1423953920.

The previous prime is 4001662697. The next prime is 4001662727. The reversal of 4001662720 is 272661004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001662727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658737 + ... + 664783.

It is an arithmetic number, because the mean of its divisors is an integer number (74172672).

Almost surely, 2^4001662720 is an apocalyptic number.

4001662720 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 4001662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340432384).

4001662720 is an abundant number, since it is smaller than the sum of its proper divisors (6679202048).

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

4001662720 is a wasteful number, since it uses less digits than its factorization.

4001662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4001662720 is about 63258.6967934054. The cubic root of 4001662720 is about 1587.6209717887.

The spelling of 4001662720 in words is "four billion, one million, six hundred sixty-two thousand, seven hundred twenty".