4000852440 has 480 divisors, whose sum is σ = 15140497680. Its totient is φ = 941455872.

The previous prime is 4000852433. The next prime is 4000852451. The reversal of 4000852440 is 442580004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85124497 + ... + 85124543.

Almost surely, 2^4000852440 is an apocalyptic number.

4000852440 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 4000852440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570248840).

4000852440 is an abundant number, since it is smaller than the sum of its proper divisors (11139645240).

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

4000852440 is a wasteful number, since it uses less digits than its factorization.

4000852440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4000852440 is about 63252.2919742834. The cubic root of 4000852440 is about 1587.5138076382.

The spelling of 4000852440 in words is "four billion, eight hundred fifty-two thousand, four hundred forty".