42019488 has 144 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 11363328.

The previous prime is 42019487. The next prime is 42019489. The reversal of 42019488 is 88491024.

It is an interprime number because it is at equal distance from previous prime (42019487) and next prime (42019489).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42019487) 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, 37756 + ... + 38852.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^42019488 is an apocalyptic number.

42019488 is a gapful number since it is divisible by the number (48) 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 42019488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

42019488 is an abundant number, since it is smaller than the sum of its proper divisors (101862432).

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

42019488 is a wasteful number, since it uses less digits than its factorization.

42019488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42019488 is about 6482.2440558806. The cubic root of 42019488 is about 347.6564187210.

It can be divided in two parts, 4201 and 9488, that added together give a square (13689 = 117²).

The spelling of 42019488 in words is "forty-two million, nineteen thousand, four hundred eighty-eight".