42177996 has 72 divisors (see below), whose sum is σ = 126380800. Its totient is φ = 12048912.

The previous prime is 42177991. The next prime is 42178001. The reversal of 42177996 is 69977124.

It is an interprime number because it is at equal distance from previous prime (42177991) and next prime (42178001).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42177991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3705 + ... + 9903.

Almost surely, 2^42177996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42177996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63190400).

42177996 is an abundant number, since it is smaller than the sum of its proper divisors (84202804).

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

42177996 is a wasteful number, since it uses less digits than its factorization.

42177996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6211 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 42177996 is about 6494.4588689128. The cubic root of 42177996 is about 348.0930191294.

It can be divided in two parts, 421779 and 96, that added together give a cube (421875 = 75³).

The spelling of 42177996 in words is "forty-two million, one hundred seventy-seven thousand, nine hundred ninety-six".