42199680 has 128 divisors (see below), whose sum is σ = 139046400. Its totient is φ = 10874880.

The previous prime is 42199679. The next prime is 42199681. The reversal of 42199680 is 8699124.

It is an interprime number because it is at equal distance from previous prime (42199679) and next prime (42199681).

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (42199681) 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, 59166 + ... + 59874.

It is an arithmetic number, because the mean of its divisors is an integer number (1086300).

Almost surely, 2^42199680 is an apocalyptic number.

42199680 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 42199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69523200).

42199680 is an abundant number, since it is smaller than the sum of its proper divisors (96846720).

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

42199680 is a wasteful number, since it uses less digits than its factorization.

42199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 42199680 is about 6496.1280775551. The cubic root of 42199680 is about 348.1526612541.

It can be divided in two parts, 42 and 199680, that multiplied together give a triangular number (8386560 = T₄₀₉₅).

The spelling of 42199680 in words is "forty-two million, one hundred ninety-nine thousand, six hundred eighty".