4012199680 has 72 divisors (see below), whose sum is σ = 9621696672. Its totient is φ = 1603006464.

The previous prime is 4012199641. The next prime is 4012199687. The reversal of 4012199680 is 869912104.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012199687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748614 + ... + 1750906.

It is an arithmetic number, because the mean of its divisors is an integer number (133634676).

Almost surely, 2^4012199680 is an apocalyptic number.

4012199680 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 4012199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810848336).

4012199680 is an abundant number, since it is smaller than the sum of its proper divisors (5609496992).

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

4012199680 is a wasteful number, since it uses less digits than its factorization.

4012199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 4012199680 is about 63341.9267152492. The cubic root of 4012199680 is about 1589.0132294787.

The spelling of 4012199680 in words is "four billion, twelve million, one hundred ninety-nine thousand, six hundred eighty".