4006881360 has 120 divisors (see below), whose sum is σ = 13469923584. Its totient is φ = 1067431680.

The previous prime is 4006881353. The next prime is 4006881391. The reversal of 4006881360 is 631886004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 936025 + ... + 940295.

Almost surely, 2^4006881360 is an apocalyptic number.

4006881360 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 4006881360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734961792).

4006881360 is an abundant number, since it is smaller than the sum of its proper divisors (9463042224).

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

4006881360 is a wasteful number, since it uses less digits than its factorization.

4006881360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4006881360 is about 63299.9317535177. The cubic root of 4006881360 is about 1588.3108203058.

The spelling of 4006881360 in words is "four billion, six million, eight hundred eighty-one thousand, three hundred sixty".