42147840 has 224 divisors, whose sum is σ = 157276800. Its totient is φ = 9633792.

The previous prime is 42147829. The next prime is 42147851. The reversal of 42147840 is 4874124.

It is an interprime number because it is at equal distance from previous prime (42147829) and next prime (42147851).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42147798 and 42147807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6021117 + ... + 6021123.

Almost surely, 2^42147840 is an apocalyptic number.

42147840 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 42147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78638400).

42147840 is an abundant number, since it is smaller than the sum of its proper divisors (115128960).

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

42147840 is an frugal number, since it uses more digits than its factorization.

42147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 42147840 is about 6492.1367822929. The cubic root of 42147840 is about 348.0100406668.

42147840 divided by its sum of digits (30) gives a cube (1404928 = 112³).

The spelling of 42147840 in words is "forty-two million, one hundred forty-seven thousand, eight hundred forty".