4001662400 has 84 divisors (see below), whose sum is σ = 9965554872. Its totient is φ = 1581327360.

The previous prime is 4001662397. The next prime is 4001662439. The reversal of 4001662400 is 42661004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117734 + ... + 147866.

It is an arithmetic number, because the mean of its divisors is an integer number (118637558).

Almost surely, 2^4001662400 is an apocalyptic number.

4001662400 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 4001662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982777436).

4001662400 is an abundant number, since it is smaller than the sum of its proper divisors (5963892472).

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

4001662400 is a wasteful number, since it uses less digits than its factorization.

4001662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30238 (or 30223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4001662400 is about 63258.6942641089. The cubic root of 4001662400 is about 1587.6209294697.

The spelling of 4001662400 in words is "four billion, one million, six hundred sixty-two thousand, four hundred".